101082432 has 168 divisors, whose sum is σ = 310794400. Its totient is φ = 28892160.

The previous prime is 101082427. The next prime is 101082433. The reversal of 101082432 is 234280101.

It is a junction number, because it is equal to n+sod(n) for n = 101082399 and 101082408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101082433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441294 + ... + 441522.

Almost surely, 2^101082432 is an apocalyptic number.

101082432 is a gapful number since it is divisible by the number (12) 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 101082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155397200).

101082432 is an abundant number, since it is smaller than the sum of its proper divisors (209711968).

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

101082432 is a wasteful number, since it uses less digits than its factorization.

101082432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 101082432 is about 10053.9759299493. The cubic root of 101082432 is about 465.8276115783.

The spelling of 101082432 in words is "one hundred one million, eighty-two thousand, four hundred thirty-two".