101839732992 has 216 divisors, whose sum is σ = 302754193560. Its totient is φ = 32898908160.

The previous prime is 101839732961. The next prime is 101839733003. The reversal of 101839732992 is 299237938101.

It can be written as a sum of positive squares in 4 ways, for example, as 8878162176 + 92961570816 = 94224^2 + 304896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22929492 + ... + 22933932.

It is an arithmetic number, because the mean of its divisors is an integer number (1401639785).

Almost surely, 2^101839732992 is an apocalyptic number.

101839732992 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 101839732992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151377096780).

101839732992 is an abundant number, since it is smaller than the sum of its proper divisors (200914460568).

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

101839732992 is a wasteful number, since it uses less digits than its factorization.

101839732992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 101839732992 in words is "one hundred one billion, eight hundred thirty-nine million, seven hundred thirty-two thousand, nine hundred ninety-two".