101728125792 has 36 divisors (see below), whose sum is σ = 289289358540. Its totient is φ = 33909375168.

The previous prime is 101728125787. The next prime is 101728125799. The reversal of 101728125792 is 297521827101.

101728125792 is a `hidden beast` number, since 1 + 0 + 1 + 72 + 8 + 1 + 2 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101728125792² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101728125799) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176611042 + ... + 176611617.

It is an arithmetic number, because the mean of its divisors is an integer number (8035815515).

Almost surely, 2^101728125792 is an apocalyptic number.

101728125792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101728125792 is an abundant number, since it is smaller than the sum of its proper divisors (187561232748).

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

101728125792 is a wasteful number, since it uses less digits than its factorization.

101728125792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353222675 (or 353222664 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 101728125792 in words is "one hundred one billion, seven hundred twenty-eight million, one hundred twenty-five thousand, seven hundred ninety-two".