106625988 has 72 divisors (see below), whose sum is σ = 317990400. Its totient is φ = 29479680.

The previous prime is 106625977. The next prime is 106626001. The reversal of 106625988 is 889526601.

106625988 is a `hidden beast` number, since 10 + 6 + 625 + 9 + 8 + 8 = 666.

It is a super-2 number, since 2×106625988² = 22738202633952288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988 + ... + 14636.

Almost surely, 2^106625988 is an apocalyptic number.

106625988 is a gapful number since it is divisible by the number (18) 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 106625988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158995200).

106625988 is an abundant number, since it is smaller than the sum of its proper divisors (211364412).

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

106625988 is a wasteful number, since it uses less digits than its factorization.

106625988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13697 (or 13692 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 106625988 is about 10325.9860546100. The cubic root of 106625988 is about 474.1921455678.

The spelling of 106625988 in words is "one hundred six million, six hundred twenty-five thousand, nine hundred eighty-eight".