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105522421344 = 253592337937
BaseRepresentation
bin110001001000110100…
…0000101111001100000
3101002101001001102011120
41202101220011321200
53212102214440334
6120250515412240
710423641532164
oct1422150057140
9332331042146
10105522421344
114082a723a8a
121854b2b4080
139c48973992
145170672ca4
152b28e87949
hex1891a05e60

105522421344 has 144 divisors (see below), whose sum is σ = 282908506608. Its totient is φ = 34438569984.

The previous prime is 105522421327. The next prime is 105522421351. The reversal of 105522421344 is 443124225501.

It is a super-2 number, since 2×1055224213442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112616844 + ... + 112617780.

It is an arithmetic number, because the mean of its divisors is an integer number (1964642407).

Almost surely, 2105522421344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105522421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141454253304).

105522421344 is an abundant number, since it is smaller than the sum of its proper divisors (177386085264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105522421344 is an equidigital number, since it uses as much as digits as its factorization.

105522421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 105522421344 its reverse (443124225501), we get a palindrome (548646646845).

The spelling of 105522421344 in words is "one hundred five billion, five hundred twenty-two million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 337 354 472 674 708 937 944 1011 1348 1416 1874 1888 2022 2696 2811 2832 3481 3748 4044 5392 5622 5664 6962 7496 8088 10443 10784 11244 13924 14992 16176 19883 20886 22488 27848 29984 32352 39766 41772 44976 55283 55696 59649 79532 83544 89952 110566 111392 119298 159064 165849 167088 221132 238596 315769 318128 331698 334176 442264 477192 631538 636256 663396 884528 947307 954384 1173097 1263076 1326792 1769056 1894614 1908768 2346194 2526152 2653584 3261697 3519291 3789228 4692388 5052304 5307168 6523394 7038582 7578456 9384776 9785091 10104608 13046788 14077164 15156912 18630371 18769552 19570182 26093576 28154328 30313824 37260742 37539104 39140364 52187152 55891113 56308656 74521484 78280728 104374304 111782226 112617312 149042968 156561456 223564452 298085936 313122912 447128904 596171872 894257808 1099191889 1788515616 2198383778 3297575667 4396767556 6595151334 8793535112 13190302668 17587070224 26380605336 35174140448 52761210672 105522421344