107403407370400 has 72 divisors (see below), whose sum is σ = 262200202917660. Its totient is φ = 42961095106560.

The previous prime is 107403407370361. The next prime is 107403407370401. The reversal of 107403407370400 is 4073704304701.

107403407370400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 55507923732496 + 51895483637904 = 7450364^2 + 7203852^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (107403407370401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172720842 + ... + 173341558.

Almost surely, 2^{107403407370400} is an apocalyptic number.

107403407370400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107403407370400 is an abundant number, since it is smaller than the sum of its proper divisors (154796795547260).

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

107403407370400 is a wasteful number, since it uses less digits than its factorization.

107403407370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837026 (or 837013 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 40.

The spelling of 107403407370400 in words is "one hundred seven trillion, four hundred three billion, four hundred seven million, three hundred seventy thousand, four hundred".