107390400 has 168 divisors, whose sum is σ = 379652784. Its totient is φ = 26419200.

The previous prime is 107390389. The next prime is 107390401. The reversal of 107390400 is 4093701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107390401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61540 + ... + 63260.

It is an arithmetic number, because the mean of its divisors is an integer number (2259838).

Almost surely, 2^107390400 is an apocalyptic number.

107390400 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 107390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189826392).

107390400 is an abundant number, since it is smaller than the sum of its proper divisors (272262384).

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

107390400 is a wasteful number, since it uses less digits than its factorization.

107390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 107390400 is about 10362.9339474880. The cubic root of 107390400 is about 475.3226247724.

The spelling of 107390400 in words is "one hundred seven million, three hundred ninety thousand, four hundred".