107156400 has 120 divisors (see below), whose sum is σ = 369715920. Its totient is φ = 26373120.

The previous prime is 107156393. The next prime is 107156417. The reversal of 107156400 is 4651701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×107156400² = 22964988121920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12166 + ... + 19034.

It is an arithmetic number, because the mean of its divisors is an integer number (3080966).

Almost surely, 2^107156400 is an apocalyptic number.

107156400 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 107156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184857960).

107156400 is an abundant number, since it is smaller than the sum of its proper divisors (262559520).

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

107156400 is a wasteful number, since it uses less digits than its factorization.

107156400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 107156400 is about 10351.6375516147. The cubic root of 107156400 is about 474.9771364803.

The spelling of 107156400 in words is "one hundred seven million, one hundred fifty-six thousand, four hundred".