101056032 has 384 divisors, whose sum is σ = 387072000. Its totient is φ = 25401600.

The previous prime is 101056031. The next prime is 101056093. The reversal of 101056032 is 230650101.

101056032 is a `hidden beast` number, since 101 + 0 + 560 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101055996 and 101056014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101056031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3259857 + ... + 3259887.

It is an arithmetic number, because the mean of its divisors is an integer number (1008000).

Almost surely, 2^101056032 is an apocalyptic number.

101056032 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 101056032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

101056032 is an abundant number, since it is smaller than the sum of its proper divisors (286015968).

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

101056032 is a wasteful number, since it uses less digits than its factorization.

101056032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101056032 is about 10052.6629307861. The cubic root of 101056032 is about 465.7870541854.

The spelling of 101056032 in words is "one hundred one million, fifty-six thousand, thirty-two".