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105456355 = 5171279769
BaseRepresentation
bin1100100100100…
…10001011100011
321100102201220221
412102102023203
5203444100410
614244143511
72420235634
oct622221343
9240381827
10105456355
1154588a14
122b397b97
1318b04214
141001188b
1593d14da
hex64922e3

105456355 has 16 divisors (see below), whose sum is σ = 135060480. Its totient is φ = 78769152.

The previous prime is 105456353. The next prime is 105456359. The reversal of 105456355 is 553654501.

It is a cyclic number.

It is not a de Polignac number, because 105456355 - 21 = 105456353 is a prime.

It is a super-2 number, since 2×1054563552 = 22242085619772050, 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 105456355.

It is not an unprimeable number, because it can be changed into a prime (105456353) 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, 5911 + ... + 15679.

It is an arithmetic number, because the mean of its divisors is an integer number (8441280).

Almost surely, 2105456355 is an apocalyptic number.

105456355 is a deficient number, since it is larger than the sum of its proper divisors (29604125).

105456355 is a wasteful number, since it uses less digits than its factorization.

105456355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918.

The product of its (nonzero) digits is 45000, while the sum is 34.

The square root of 105456355 is about 10269.1944669482. The cubic root of 105456355 is about 472.4518842786.

It can be divided in two parts, 10545 and 6355, that added together give a square (16900 = 1302).

The spelling of 105456355 in words is "one hundred five million, four hundred fifty-six thousand, three hundred fifty-five".

Divisors: 1 5 17 85 127 635 2159 9769 10795 48845 166073 830365 1240663 6203315 21091271 105456355