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106055322152 = 23134767323837
BaseRepresentation
bin110001011000101100…
…0111100101000101000
3101010202011210120122112
41202301120330220220
53214200130302102
6120415433341452
710443102235643
oct1426130745050
9333664716575
10106055322152
1140a8351227a
1218679867888
13a0021a81c0
1451c1350a5a
152b5ab4e252
hex18b163ca28

106055322152 has 64 divisors (see below), whose sum is σ = 221971518720. Its totient is φ = 47191972608.

The previous prime is 106055322127. The next prime is 106055322157. The reversal of 106055322152 is 251223550601.

It is a super-2 number, since 2×1060553221522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106055322157) 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, 165578 + ... + 489414.

It is an arithmetic number, because the mean of its divisors is an integer number (3468304980).

Almost surely, 2106055322152 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 106055322152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110985759360).

106055322152 is an abundant number, since it is smaller than the sum of its proper divisors (115916196568).

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

106055322152 is a wasteful number, since it uses less digits than its factorization.

106055322152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323970 (or 323966 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 106055322152 its reverse (251223550601), we get a palindrome (357278872753).

The spelling of 106055322152 in words is "one hundred six billion, fifty-five million, three hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 47 52 67 94 104 134 188 268 376 536 611 871 1222 1742 2444 3149 3484 4888 6298 6968 12596 25192 40937 81874 163748 323837 327496 647674 1295348 2590696 4209881 8419762 15220339 16839524 21697079 30440678 33679048 43394158 60881356 86788316 121762712 173576632 197864407 282062027 395728814 564124054 791457628 1019762713 1128248108 1582915256 2039525426 2256496216 4079050852 8158101704 13256915269 26513830538 53027661076 106055322152