101812032 has 224 divisors, whose sum is σ = 360883200. Its totient is φ = 27495936.

The previous prime is 101812027. The next prime is 101812043. The reversal of 101812032 is 230218101.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 101811996 and 101812014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229603 + ... + 230045.

Almost surely, 2^101812032 is an apocalyptic number.

101812032 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 101812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180441600).

101812032 is an abundant number, since it is smaller than the sum of its proper divisors (259071168).

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

101812032 is a wasteful number, since it uses less digits than its factorization.

101812032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101812032 is about 10090.1948445013. The cubic root of 101812032 is about 466.9456871084.

The spelling of 101812032 in words is "one hundred one million, eight hundred twelve thousand, thirty-two".