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105422523232 = 25131767222493
BaseRepresentation
bin110001000101110101…
…1000000101101100000
3101002010002002001201111
41202023223000231200
53211401131220412
6120232550313104
710421316443065
oct1421353005540
9332102061644
10105422523232
11407892a2064
1218521958794
139c31067680
1451612aac6c
152b203032a7
hex188bac0b60

105422523232 has 96 divisors (see below), whose sum is σ = 240197402592. Its totient is φ = 45110697984.

The previous prime is 105422523211. The next prime is 105422523233. The reversal of 105422523232 is 232325224501.

It is a super-2 number, since 2×1054225232322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105422523194 and 105422523203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105422523233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362578 + ... + 585070.

It is an arithmetic number, because the mean of its divisors is an integer number (2502056277).

Almost surely, 2105422523232 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 105422523232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120098701296).

105422523232 is an abundant number, since it is smaller than the sum of its proper divisors (134774879360).

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

105422523232 is a wasteful number, since it uses less digits than its factorization.

105422523232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222600 (or 222592 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 105422523232 its reverse (232325224501), we get a palindrome (337747747733).

The spelling of 105422523232 in words is "one hundred five billion, four hundred twenty-two million, five hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 67 68 104 134 136 208 221 268 272 416 442 536 544 871 884 1072 1139 1742 1768 2144 2278 3484 3536 4556 6968 7072 9112 13936 14807 18224 27872 29614 36448 59228 118456 222493 236912 444986 473824 889972 1779944 2892409 3559888 3782381 5784818 7119776 7564762 11569636 14907031 15129524 23139272 29814062 30259048 46278544 49170953 59628124 60518096 92557088 98341906 119256248 121036192 193791403 196683812 238512496 253419527 387582806 393367624 477024992 506839054 775165612 786735248 1013678108 1550331224 1573470496 2027356216 3100662448 3294453851 4054712432 6201324896 6588907702 8109424864 13177815404 26355630808 52711261616 105422523232