101632944 has 80 divisors (see below), whose sum is σ = 302480640. Its totient is φ = 28803840.

The previous prime is 101632933. The next prime is 101632961. The reversal of 101632944 is 449236101.

It is a super-2 number, since 2×101632944² = 20658510612214272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42862 + ... + 45170.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2^101632944 is an apocalyptic number.

101632944 is a gapful number since it is divisible by the number (14) 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 101632944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

101632944 is an abundant number, since it is smaller than the sum of its proper divisors (200847696).

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

101632944 is a wasteful number, since it uses less digits than its factorization.

101632944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 101632944 is about 10081.3165806853. The cubic root of 101632944 is about 466.6717396274.

The spelling of 101632944 in words is "one hundred one million, six hundred thirty-two thousand, nine hundred forty-four".