106638165 has 48 divisors (see below), whose sum is σ = 195886080. Its totient is φ = 53516160.

The previous prime is 106638149. The next prime is 106638167. The reversal of 106638165 is 561836601.

It is a happy number.

106638165 is a `hidden beast` number, since 1 + 0 + 6 + 638 + 16 + 5 = 666.

It is not a de Polignac number, because 106638165 - 2⁴ = 106638149 is a prime.

It is a super-2 number, since 2×106638165² = 22743396469134450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106638167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162979 + ... + 163631.

It is an arithmetic number, because the mean of its divisors is an integer number (4080960).

Almost surely, 2^106638165 is an apocalyptic number.

106638165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106638165 is a deficient number, since it is larger than the sum of its proper divisors (89247915).

106638165 is a wasteful number, since it uses less digits than its factorization.

106638165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106638165 is about 10326.5756666961. The cubic root of 106638165 is about 474.2101962578.

The spelling of 106638165 in words is "one hundred six million, six hundred thirty-eight thousand, one hundred sixty-five".