107137400832 has 612 divisors, whose sum is σ = 393933366216. Its totient is φ = 27745320960.

The previous prime is 107137400819. The next prime is 107137400927. The reversal of 107137400832 is 238004731701.

It is a super-2 number, since 2×107137400832² (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 a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 317914968 + ... + 317915304.

Almost surely, 2^107137400832 is an apocalyptic number.

107137400832 is a gapful number since it is divisible by the number (12) 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 107137400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196966683108).

107137400832 is an abundant number, since it is smaller than the sum of its proper divisors (286795965384).

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

107137400832 is an equidigital number, since it uses as much as digits as its factorization.

107137400832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 107137400832 in words is "one hundred seven billion, one hundred thirty-seven million, four hundred thousand, eight hundred thirty-two".