107577313872 has 160 divisors (see below), whose sum is σ = 334745241600. Its totient is φ = 29082115584.

The previous prime is 107577313859. The next prime is 107577313873. The reversal of 107577313872 is 278313775701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107577313873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5282173 + ... + 5302499.

It is an arithmetic number, because the mean of its divisors is an integer number (2092157760).

Almost surely, 2^107577313872 is an apocalyptic number.

107577313872 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 107577313872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167372620800).

107577313872 is an abundant number, since it is smaller than the sum of its proper divisors (227167927728).

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

107577313872 is a wasteful number, since it uses less digits than its factorization.

107577313872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21193 (or 21187 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 51.

The spelling of 107577313872 in words is "one hundred seven billion, five hundred seventy-seven million, three hundred thirteen thousand, eight hundred seventy-two".