107135400 has 48 divisors (see below), whose sum is σ = 332121600. Its totient is φ = 28569280.

The previous prime is 107135393. The next prime is 107135423. The reversal of 107135400 is 4531701.

It is a super-2 number, since 2×107135400² = 22955987866320000, 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88680 + ... + 89879.

It is an arithmetic number, because the mean of its divisors is an integer number (6919200).

Almost surely, 2^107135400 is an apocalyptic number.

107135400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107135400 is an abundant number, since it is smaller than the sum of its proper divisors (224986200).

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

107135400 is a wasteful number, since it uses less digits than its factorization.

107135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178578 (or 178569 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 107135400 is about 10350.6231696454. The cubic root of 107135400 is about 474.9461065355.

The spelling of 107135400 in words is "one hundred seven million, one hundred thirty-five thousand, four hundred".