107474400 has 432 divisors, whose sum is σ = 438721920. Its totient is φ = 24499200.

The previous prime is 107474387. The next prime is 107474429. The reversal of 107474400 is 4474701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1821571 + ... + 1821629.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^107474400 is an apocalyptic number.

107474400 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 107474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

107474400 is an abundant number, since it is smaller than the sum of its proper divisors (331247520).

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

107474400 is a wasteful number, since it uses less digits than its factorization.

107474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 107474400 is about 10366.9860615321. The cubic root of 107474400 is about 475.4465237887.

The spelling of 107474400 in words is "one hundred seven million, four hundred seventy-four thousand, four hundred".