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105045136 = 247937903
BaseRepresentation
bin1100100001011…
…01110010010000
321022122211211121
412100231302100
5203342421021
614231252024
72413604020
oct620556220
9238584747
10105045136
1154327a69
122b21a014
13189bbcb1
14dd45a80
15934e741
hex642dc90

105045136 has 20 divisors (see below), whose sum is σ = 232600192. Its totient is φ = 45019296.

The previous prime is 105045133. The next prime is 105045169. The reversal of 105045136 is 631540501.

It is a super-2 number, since 2×1050451362 = 22068961194516992, 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 105045136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105045131) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 468840 + ... + 469063.

Almost surely, 2105045136 is an apocalyptic number.

105045136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105045136 is an abundant number, since it is smaller than the sum of its proper divisors (127555056).

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

105045136 is an equidigital number, since it uses as much as digits as its factorization.

105045136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937918 (or 937912 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 105045136 is about 10249.1529406093. The cubic root of 105045136 is about 471.8369876606.

Adding to 105045136 its reverse (631540501), we get a palindrome (736585637).

The spelling of 105045136 in words is "one hundred five million, forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 937903 1875806 3751612 6565321 7503224 13130642 15006448 26261284 52522568 105045136