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106160256 = 273292153
BaseRepresentation
bin1100101001111…
…10000010000000
321101202111111100
412110332002000
5204134112011
614311214400
72426230056
oct624760200
9241674440
10106160256
1154a19854
122b677400
1318cbc727
14101561d6
1594bed56
hex653e080

106160256 has 48 divisors (see below), whose sum is σ = 305490510. Its totient is φ = 35386368.

The previous prime is 106160251. The next prime is 106160269. The reversal of 106160256 is 652061601.

It is a happy number.

106160256 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 602 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81000000 + 25160256 = 9000^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1061602562 = 22539999907971072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106160251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44925 + ... + 47228.

Almost surely, 2106160256 is an apocalyptic number.

106160256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106160256 is an abundant number, since it is smaller than the sum of its proper divisors (199330254).

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

106160256 is an equidigital number, since it uses as much as digits as its factorization.

106160256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92173 (or 92158 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106160256 is about 10303.4099209922. The cubic root of 106160256 is about 473.5007294370.

The spelling of 106160256 in words is "one hundred six million, one hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 92153 184306 276459 368612 552918 737224 829377 1105836 1474448 1658754 2211672 2948896 3317508 4423344 5897792 6635016 8846688 11795584 13270032 17693376 26540064 35386752 53080128 106160256