107339904000 has 2112 divisors, whose sum is σ = 502143183360. Its totient is φ = 22295347200.

The previous prime is 107339903969. The next prime is 107339904031. The reversal of 107339904000 is 409933701.

It is an interprime number because it is at equal distance from previous prime (107339903969) and next prime (107339904031).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3701375986 + ... + 3701376014.

Almost surely, 2^107339904000 is an apocalyptic number.

107339904000 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 107339904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251071591680).

107339904000 is an abundant number, since it is smaller than the sum of its proper divisors (394803279360).

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

107339904000 is an equidigital number, since it uses as much as digits as its factorization.

107339904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 107339904000 in words is "one hundred seven billion, three hundred thirty-nine million, nine hundred four thousand".