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105422504 = 23114771359
BaseRepresentation
bin1100100100010…
…01111010101000
321100101000111012
412102021322220
5203442010004
614243323052
72420035145
oct622117250
9240330435
10105422504
1154565540
122b380488
1318ac19a5
14100033cc
1593c646e
hex6489ea8

105422504 has 64 divisors (see below), whose sum is σ = 223948800. Its totient is φ = 46110400.

The previous prime is 105422503. The next prime is 105422519. The reversal of 105422504 is 405224501.

It is a happy number.

It is a super-2 number, since 2×1054225042 = 22227808699260032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105422504.

It is not an unprimeable number, because it can be changed into a prime (105422503) 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, 293477 + ... + 293835.

It is an arithmetic number, because the mean of its divisors is an integer number (3499200).

Almost surely, 2105422504 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 105422504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111974400).

105422504 is an abundant number, since it is smaller than the sum of its proper divisors (118526296).

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

105422504 is a wasteful number, since it uses less digits than its factorization.

105422504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 105422504 is about 10267.5461528059. The cubic root of 105422504 is about 472.4013272488.

The spelling of 105422504 in words is "one hundred five million, four hundred twenty-two thousand, five hundred four".

Divisors: 1 2 4 8 11 22 44 47 71 88 94 142 188 284 359 376 517 568 718 781 1034 1436 1562 2068 2872 3124 3337 3949 4136 6248 6674 7898 13348 15796 16873 25489 26696 31592 33746 36707 50978 67492 73414 101956 134984 146828 185603 203912 280379 293656 371206 560758 742412 1121516 1197983 1484824 2243032 2395966 4791932 9583864 13177813 26355626 52711252 105422504