106626924 has 72 divisors (see below), whose sum is σ = 290319120. Its totient is φ = 32873472.

The previous prime is 106626911. The next prime is 106626929. The reversal of 106626924 is 429626601.

106626924 is a `hidden beast` number, since 1 + 0 + 6 + 626 + 9 + 24 = 666.

It is a super-2 number, since 2×106626924² = 22738601843403552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106626929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34632 + ... + 37584.

It is an arithmetic number, because the mean of its divisors is an integer number (4032210).

Almost surely, 2^106626924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106626924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145159560).

106626924 is an abundant number, since it is smaller than the sum of its proper divisors (183692196).

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

106626924 is a wasteful number, since it uses less digits than its factorization.

106626924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 106626924 is about 10326.0313770587. The cubic root of 106626924 is about 474.1935331049.

The spelling of 106626924 in words is "one hundred six million, six hundred twenty-six thousand, nine hundred twenty-four".