107357400 has 216 divisors, whose sum is σ = 382019820. Its totient is φ = 28019520.

The previous prime is 107357351. The next prime is 107357413. The reversal of 107357400 is 4753701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×107357400² = 23051222669520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2284177 + ... + 2284223.

Almost surely, 2^107357400 is an apocalyptic number.

107357400 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 107357400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191009910).

107357400 is an abundant number, since it is smaller than the sum of its proper divisors (274662420).

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

107357400 is an equidigital number, since it uses as much as digits as its factorization.

107357400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 107357400 is about 10361.3416119728. The cubic root of 107357400 is about 475.2739324822.

The spelling of 107357400 in words is "one hundred seven million, three hundred fifty-seven thousand, four hundred".