107064527400 has 72 divisors (see below), whose sum is σ = 359558377230. Its totient is φ = 28550540160.

The previous prime is 107064527369. The next prime is 107064527429. The reversal of 107064527400 is 4725460701.

107064527400 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 645 + 2 + 7 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 75452398596 + 31612128804 = 274686^2 + 177798^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×107064527400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29738347 + ... + 29741946.

Almost surely, 2^107064527400 is an apocalyptic number.

107064527400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107064527400 is an abundant number, since it is smaller than the sum of its proper divisors (252493849830).

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

107064527400 is a wasteful number, since it uses less digits than its factorization.

107064527400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59480315 (or 59480303 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 107064527400 in words is "one hundred seven billion, sixty-four million, five hundred twenty-seven thousand, four hundred".