107134560 has 288 divisors, whose sum is σ = 404520480. Its totient is φ = 25657344.

The previous prime is 107134553. The next prime is 107134589. The reversal of 107134560 is 65431701.

107134560 is a `hidden beast` number, since 1 + 0 + 71 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×107134560² = 22955627892787200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104432 + ... + 1104528.

It is an arithmetic number, because the mean of its divisors is an integer number (1404585).

Almost surely, 2^107134560 is an apocalyptic number.

107134560 is a gapful number since it is divisible by the number (10) 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 107134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202260240).

107134560 is an abundant number, since it is smaller than the sum of its proper divisors (297385920).

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

107134560 is a wasteful number, since it uses less digits than its factorization.

107134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 107134560 is about 10350.5825922989. The cubic root of 107134560 is about 474.9448652534.

The spelling of 107134560 in words is "one hundred seven million, one hundred thirty-four thousand, five hundred sixty".