107075136 has 56 divisors (see below), whose sum is σ = 323778880. Its totient is φ = 30592512.

The previous prime is 107075131. The next prime is 107075141. The reversal of 107075136 is 631570701.

It is an interprime number because it is at equal distance from previous prime (107075131) and next prime (107075141).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×107075136² = 22930169498836992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107075131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38491 + ... + 41178.

Almost surely, 2^107075136 is an apocalyptic number.

107075136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107075136 is an abundant number, since it is smaller than the sum of its proper divisors (216703744).

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

107075136 is an equidigital number, since it uses as much as digits as its factorization.

107075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79691 (or 79681 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 107075136 is about 10347.7116310806. The cubic root of 107075136 is about 474.8570369391.

The spelling of 107075136 in words is "one hundred seven million, seventy-five thousand, one hundred thirty-six".