101660832 has 240 divisors, whose sum is σ = 368831232. Its totient is φ = 26749440.

The previous prime is 101660813. The next prime is 101660861. The reversal of 101660832 is 238066101.

101660832 is a `hidden beast` number, since 10 + 16 + 608 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101660796 and 101660805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235657 + ... + 236087.

Almost surely, 2^101660832 is an apocalyptic number.

101660832 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 101660832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184415616).

101660832 is an abundant number, since it is smaller than the sum of its proper divisors (267170400).

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

101660832 is a wasteful number, since it uses less digits than its factorization.

101660832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 101660832 is about 10082.6996384897. The cubic root of 101660832 is about 466.7144205100.

The spelling of 101660832 in words is "one hundred one million, six hundred sixty thousand, eight hundred thirty-two".