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105452904 = 233171311973
BaseRepresentation
bin1100100100100…
…01010101101000
321100102120012010
412102101111220
5203443443104
614244115520
72420222604
oct622212550
9240376163
10105452904
1154586367
122b395ba0
1318b0278b
1410010504
1593d0489
hex6491568

105452904 has 64 divisors (see below), whose sum is σ = 281413440. Its totient is φ = 32814080.

The previous prime is 105452891. The next prime is 105452927. The reversal of 105452904 is 409254501.

It is a super-2 number, since 2×1054529042 = 22240629924066432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52462 + ... + 54434.

It is an arithmetic number, because the mean of its divisors is an integer number (4397085).

Almost surely, 2105452904 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 105452904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140706720).

105452904 is an abundant number, since it is smaller than the sum of its proper divisors (175960536).

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

105452904 is a wasteful number, since it uses less digits than its factorization.

105452904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105452904 is about 10269.0264387623. The cubic root of 105452904 is about 472.4467306482.

The spelling of 105452904 in words is "one hundred five million, four hundred fifty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 131 136 204 262 393 408 524 786 1048 1572 1973 2227 3144 3946 4454 5919 6681 7892 8908 11838 13362 15784 17816 23676 26724 33541 47352 53448 67082 100623 134164 201246 258463 268328 402492 516926 775389 804984 1033852 1550778 2067704 3101556 4393871 6203112 8787742 13181613 17575484 26363226 35150968 52726452 105452904