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108056025 = 365272112
BaseRepresentation
bin1100111000011…
…00110111011001
321112022211000000
412130030313121
5210130243100
614420003213
72451314100
oct634146731
9245284000
10108056025
1155aa4100
1230230509
131950459c
14104cb037
159746900
hex670cdd9

108056025 has 189 divisors, whose sum is σ = 256867023. Its totient is φ = 44906400.

The previous prime is 108056023. The next prime is 108056041. The reversal of 108056025 is 520650801.

The square root of 108056025 is 10395.

It is a perfect power (a square), and thus also a powerful number.

108056025 is a `hidden beast` number, since 1 + 0 + 80 + 560 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38900169 + 69155856 = 6237^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 108056025 - 21 = 108056023 is a prime.

It is a super-2 number, since 2×1080560252 = 23352209077601250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 108056025.

It is not an unprimeable number, because it can be changed into a prime (108056023) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 9823270 + ... + 9823280.

Almost surely, 2108056025 is an apocalyptic number.

108056025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

108056025 is the 10395-th square number.

108056025 is the 5198-th centered octagonal number.

It is an amenable number.

108056025 is an abundant number, since it is smaller than the sum of its proper divisors (148810998).

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

108056025 is an equidigital number, since it uses as much as digits as its factorization.

108056025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The cubic root of 108056025 is about 476.3026477851.

The spelling of 108056025 in words is "one hundred eight million, fifty-six thousand, twenty-five".