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105243904 = 28478747
BaseRepresentation
bin1100100010111…
…10010100000000
321100000221111101
412101132110000
5203420301104
614235424144
72415362353
oct621362400
9240027441
10105243904
1154453337
122b2b5054
1318a5b5cc
14dd9829a
15938d5a4
hex645e500

105243904 has 36 divisors (see below), whose sum is σ = 214570944. Its totient is φ = 51496448.

The previous prime is 105243893. The next prime is 105243911. The reversal of 105243904 is 409342501.

It is a super-2 number, since 2×1052439042 = 22152558658322432, which 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 3 ways as a sum of consecutive naturals, for example, 7659 + ... + 16405.

It is an arithmetic number, because the mean of its divisors is an integer number (5960304).

Almost surely, 2105243904 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 105243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107285472).

105243904 is an abundant number, since it is smaller than the sum of its proper divisors (109327040).

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

105243904 is an frugal number, since it uses more digits than its factorization.

105243904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8810 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 105243904 is about 10258.8451591785. The cubic root of 105243904 is about 472.1344058485.

The spelling of 105243904 in words is "one hundred five million, two hundred forty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1504 3008 6016 8747 12032 17494 34988 69976 139952 279904 411109 559808 822218 1119616 1644436 2239232 3288872 6577744 13155488 26310976 52621952 105243904