107707405000 has 80 divisors (see below), whose sum is σ = 271770802380. Its totient is φ = 39768864000.

The previous prime is 107707404949. The next prime is 107707405037. The reversal of 107707405000 is 504707701.

It can be written as a sum of positive squares in 10 ways, for example, as 44476279236 + 63231125764 = 210894^2 + 251458^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 763519 + ... + 893518.

Almost surely, 2^107707405000 is an apocalyptic number.

107707405000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107707405000 is an abundant number, since it is smaller than the sum of its proper divisors (164063397380).

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

107707405000 is a wasteful number, since it uses less digits than its factorization.

107707405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657076 (or 1657057 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

The spelling of 107707405000 in words is "one hundred seven billion, seven hundred seven million, four hundred five thousand".