106524432 has 180 divisors, whose sum is σ = 358715136. Its totient is φ = 29393280.

The previous prime is 106524427. The next prime is 106524449. The reversal of 106524432 is 234425601.

106524432 is a `hidden beast` number, since 1 + 0 + 652 + 4 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×106524432² = 22694909225845248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106524396 and 106524405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218493 + ... + 218979.

Almost surely, 2^106524432 is an apocalyptic number.

106524432 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 106524432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179357568).

106524432 is an abundant number, since it is smaller than the sum of its proper divisors (252190704).

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

106524432 is a wasteful number, since it uses less digits than its factorization.

106524432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 106524432 is about 10321.0673866611. The cubic root of 106524432 is about 474.0415495277.

The spelling of 106524432 in words is "one hundred six million, five hundred twenty-four thousand, four hundred thirty-two".