101812931532 has 120 divisors (see below), whose sum is σ = 286996802400. Its totient is φ = 31287285504.

The previous prime is 101812931501. The next prime is 101812931551. The reversal of 101812931532 is 235139218101.

101812931532 is a `hidden beast` number, since 10 + 1 + 81 + 2 + 9 + 31 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3392569 + ... + 3422447.

It is an arithmetic number, because the mean of its divisors is an integer number (2391640020).

Almost surely, 2^101812931532 is an apocalyptic number.

101812931532 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 101812931532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143498401200).

101812931532 is an abundant number, since it is smaller than the sum of its proper divisors (185183870868).

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

101812931532 is a wasteful number, since it uses less digits than its factorization.

101812931532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30717 (or 30706 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 101812931532 in words is "one hundred one billion, eight hundred twelve million, nine hundred thirty-one thousand, five hundred thirty-two".