101792296320 has 1152 divisors, whose sum is σ = 409636569600. Its totient is φ = 21306654720.

The previous prime is 101792296313. The next prime is 101792296337. The reversal of 101792296320 is 23692297101.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1288510041 + ... + 1288510119.

It is an arithmetic number, because the mean of its divisors is an integer number (355587300).

Almost surely, 2^101792296320 is an apocalyptic number.

101792296320 is a gapful number since it is divisible by the number (10) 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 101792296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204818284800).

101792296320 is an abundant number, since it is smaller than the sum of its proper divisors (307844273280).

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

101792296320 is a wasteful number, since it uses less digits than its factorization.

101792296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 101792296320 in words is "one hundred one billion, seven hundred ninety-two million, two hundred ninety-six thousand, three hundred twenty".