107991792552 has 256 divisors, whose sum is σ = 322646630400. Its totient is φ = 29479127040.

The previous prime is 107991792527. The next prime is 107991792611. The reversal of 107991792552 is 255297199701.

It is a junction number, because it is equal to n+sod(n) for n = 107991792492 and 107991792501.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150196849 + ... + 150197567.

It is an arithmetic number, because the mean of its divisors is an integer number (1260338400).

Almost surely, 2^107991792552 is an apocalyptic number.

107991792552 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 107991792552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161323315200).

107991792552 is an abundant number, since it is smaller than the sum of its proper divisors (214654837848).

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

107991792552 is a wasteful number, since it uses less digits than its factorization.

107991792552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 57.

The spelling of 107991792552 in words is "one hundred seven billion, nine hundred ninety-one million, seven hundred ninety-two thousand, five hundred fifty-two".