101031972 has 12 divisors (see below), whose sum is σ = 235741296. Its totient is φ = 33677320.

The previous prime is 101031943. The next prime is 101032033. The reversal of 101031972 is 279130101.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4209654 + ... + 4209677.

It is an arithmetic number, because the mean of its divisors is an integer number (19645108).

Almost surely, 2^101031972 is an apocalyptic number.

101031972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101031972 is an abundant number, since it is smaller than the sum of its proper divisors (134709324).

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

101031972 is a wasteful number, since it uses less digits than its factorization.

101031972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8419338 (or 8419336 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 101031972 is about 10051.4661617099. The cubic root of 101031972 is about 465.7500854998.

The spelling of 101031972 in words is "one hundred one million, thirty-one thousand, nine hundred seventy-two".