107438400 has 210 divisors, whose sum is σ = 395392910. Its totient is φ = 28615680.

The previous prime is 107438389. The next prime is 107438411. The reversal of 107438400 is 4834701.

It is an interprime number because it is at equal distance from previous prime (107438389) and next prime (107438411).

It can be written as a sum of positive squares in 3 ways, for example, as 8714304 + 98724096 = 2952^2 + 9936^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129186 + ... + 130014.

Almost surely, 2^107438400 is an apocalyptic number.

107438400 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 107438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197696455).

107438400 is an abundant number, since it is smaller than the sum of its proper divisors (287954510).

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

107438400 is an equidigital number, since it uses as much as digits as its factorization.

107438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107438400 is about 10365.2496351993. The cubic root of 107438400 is about 475.3934321182.

The spelling of 107438400 in words is "one hundred seven million, four hundred thirty-eight thousand, four hundred".