101231952 has 40 divisors (see below), whose sum is σ = 267899520. Its totient is φ = 32920320.

The previous prime is 101231939. The next prime is 101231959. The reversal of 101231952 is 259132101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101231959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23752 + ... + 27687.

It is an arithmetic number, because the mean of its divisors is an integer number (6697488).

Almost surely, 2^101231952 is an apocalyptic number.

101231952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101231952 is an abundant number, since it is smaller than the sum of its proper divisors (166667568).

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

101231952 is a wasteful number, since it uses less digits than its factorization.

101231952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51491 (or 51485 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 101231952 is about 10061.4090464507. The cubic root of 101231952 is about 466.0571807500.

The spelling of 101231952 in words is "one hundred one million, two hundred thirty-one thousand, nine hundred fifty-two".