101572992 has 96 divisors (see below), whose sum is σ = 300312480. Its totient is φ = 32928768.

The previous prime is 101572951. The next prime is 101572997. The reversal of 101572992 is 299275101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101572997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41433 + ... + 43815.

It is an arithmetic number, because the mean of its divisors is an integer number (3128255).

Almost surely, 2^101572992 is an apocalyptic number.

101572992 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 101572992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150156240).

101572992 is an abundant number, since it is smaller than the sum of its proper divisors (198739488).

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

101572992 is a wasteful number, since it uses less digits than its factorization.

101572992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 101572992 is about 10078.3427209041. The cubic root of 101572992 is about 466.5799603082.

The spelling of 101572992 in words is "one hundred one million, five hundred seventy-two thousand, nine hundred ninety-two".