107153400 has 96 divisors (see below), whose sum is σ = 333907200. Its totient is φ = 28425600.

The previous prime is 107153383. The next prime is 107153411. The reversal of 107153400 is 4351701.

It is a super-2 number, since 2×107153400² = 22963702263120000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 162271 + ... + 162929.

It is an arithmetic number, because the mean of its divisors is an integer number (3478200).

Almost surely, 2^107153400 is an apocalyptic number.

107153400 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 107153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166953600).

107153400 is an abundant number, since it is smaller than the sum of its proper divisors (226753800).

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

107153400 is a wasteful number, since it uses less digits than its factorization.

107153400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 940 counting only the distinct ones).

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

The square root of 107153400 is about 10351.4926459907. The cubic root of 107153400 is about 474.9727038793.

The spelling of 107153400 in words is "one hundred seven million, one hundred fifty-three thousand, four hundred".