106624884 has 48 divisors (see below), whose sum is σ = 277300800. Its totient is φ = 31689216.

The previous prime is 106624883. The next prime is 106624897. The reversal of 106624884 is 488426601.

It is a super-2 number, since 2×106624884² = 22737731776026912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106624883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9879 + ... + 17630.

It is an arithmetic number, because the mean of its divisors is an integer number (5777100).

Almost surely, 2^106624884 is an apocalyptic number.

It is an amenable number.

106624884 is an abundant number, since it is smaller than the sum of its proper divisors (170675916).

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

106624884 is a wasteful number, since it uses less digits than its factorization.

106624884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27552 (or 27550 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 106624884 is about 10325.9325971071. The cubic root of 106624884 is about 474.1905089751.

The spelling of 106624884 in words is "one hundred six million, six hundred twenty-four thousand, eight hundred eighty-four".