101971232 has 48 divisors (see below), whose sum is σ = 224132832. Its totient is φ = 45265920.

The previous prime is 101971231. The next prime is 101971241. The reversal of 101971232 is 232179101.

It is not an unprimeable number, because it can be changed into a prime (101971231) 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, 11768 + ... + 18504.

It is an arithmetic number, because the mean of its divisors is an integer number (4669434).

Almost surely, 2^101971232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101971232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112066416).

101971232 is an abundant number, since it is smaller than the sum of its proper divisors (122161600).

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

101971232 is a wasteful number, since it uses less digits than its factorization.

101971232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6801 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 101971232 is about 10098.0806097000. The cubic root of 101971232 is about 467.1889427076.

The spelling of 101971232 in words is "one hundred one million, nine hundred seventy-one thousand, two hundred thirty-two".