107311579136 has 240 divisors, whose sum is σ = 234638982144. Its totient is φ = 48945954816.

The previous prime is 107311579103. The next prime is 107311579153. The reversal of 107311579136 is 631975113701.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1292910551 + ... + 1292910633.

Almost surely, 2^107311579136 is an apocalyptic number.

107311579136 is a gapful number since it is divisible by the number (16) 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 107311579136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117319491072).

107311579136 is an abundant number, since it is smaller than the sum of its proper divisors (127327403008).

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

107311579136 is an frugal number, since it uses more digits than its factorization.

107311579136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 44.

The spelling of 107311579136 in words is "one hundred seven billion, three hundred eleven million, five hundred seventy-nine thousand, one hundred thirty-six".