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107053056 = 21533112
BaseRepresentation
bin1100110000110…
…00000000000000
321110102212012000
412120120000000
5204401144211
614342304000
72436636015
oct630300000
9243385160
10107053056
1155479600
122ba28000
1319242c06
141030970c
1595e9656
hex6618000

107053056 has 192 divisors, whose sum is σ = 348646200. Its totient is φ = 32440320.

The previous prime is 107053043. The next prime is 107053061. The reversal of 107053056 is 650350701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

107053056 is a `hidden beast` number, since 10 + 70 + 530 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1070530562 = 22920713597878272, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9732091 + ... + 9732101.

Almost surely, 2107053056 is an apocalyptic number.

107053056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174323100).

107053056 is an abundant number, since it is smaller than the sum of its proper divisors (241593144).

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

107053056 is an frugal number, since it uses more digits than its factorization.

107053056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 107053056 is about 10346.6446735161. The cubic root of 107053056 is about 474.8243945519.

The spelling of 107053056 in words is "one hundred seven million, fifty-three thousand, fifty-six".