101981632 has 56 divisors (see below), whose sum is σ = 218541600. Its totient is φ = 47072256.

The previous prime is 101981617. The next prime is 101981641. The reversal of 101981632 is 236189101.

It is a junction number, because it is equal to n+sod(n) for n = 101981594 and 101981603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41494 + ... + 43882.

Almost surely, 2^101981632 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 101981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109270800).

101981632 is an abundant number, since it is smaller than the sum of its proper divisors (116559968).

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

101981632 is a wasteful number, since it uses less digits than its factorization.

101981632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 101981632 is about 10098.5955459163. The cubic root of 101981632 is about 467.2048249642.

The spelling of 101981632 in words is "one hundred one million, nine hundred eighty-one thousand, six hundred thirty-two".