106520832 has 180 divisors, whose sum is σ = 347242896. Its totient is φ = 32209920.

The previous prime is 106520819. The next prime is 106520833. The reversal of 106520832 is 238025601.

106520832 is a `hidden beast` number, since 1 + 0 + 652 + 0 + 8 + 3 + 2 = 666.

It is a super-2 number, since 2×106520832² = 22693375299944448, which contains 22 as substring.

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 = 106520796 and 106520805.

It is not an unprimeable number, because it can be changed into a prime (106520833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227863 + ... + 228329.

Almost surely, 2^106520832 is an apocalyptic number.

106520832 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 106520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173621448).

106520832 is an abundant number, since it is smaller than the sum of its proper divisors (240722064).

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

106520832 is an equidigital number, since it uses as much as digits as its factorization.

106520832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106520832 is about 10320.8929846210. The cubic root of 106520832 is about 474.0362093793.

The spelling of 106520832 in words is "one hundred six million, five hundred twenty thousand, eight hundred thirty-two".