106252624 has 20 divisors (see below), whose sum is σ = 212506240. Its totient is φ = 51412320.

The previous prime is 106252609. The next prime is 106252631. The reversal of 106252624 is 426252601.

106252624 is an admirable number.

It is a super-2 number, since 2×106252624² = 22579240213770752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106252592 and 106252601.

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 3 ways as a sum of consecutive naturals, for example, 106614 + ... + 107605.

It is an arithmetic number, because the mean of its divisors is an integer number (10625312).

Almost surely, 2^106252624 is an apocalyptic number.

It is an amenable number.

106252624 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106252624 is a wasteful number, since it uses less digits than its factorization.

106252624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214258 (or 214252 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 106252624 is about 10307.8913459543. The cubic root of 106252624 is about 473.6380175912.

The spelling of 106252624 in words is "one hundred six million, two hundred fifty-two thousand, six hundred twenty-four".