106612164 has 36 divisors (see below), whose sum is σ = 270641280. Its totient is φ = 35385840.

The previous prime is 106612157. The next prime is 106612169. The reversal of 106612164 is 461216601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106612164² = 22732307025525792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106612169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2409 + ... + 14799.

Almost surely, 2^106612164 is an apocalyptic number.

It is an amenable number.

106612164 is an abundant number, since it is smaller than the sum of its proper divisors (164029116).

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

106612164 is a wasteful number, since it uses less digits than its factorization.

106612164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12640 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106612164 is about 10325.3166537400. The cubic root of 106612164 is about 474.1716517662.

Adding to 106612164 its reverse (461216601), we get a palindrome (567828765).

The spelling of 106612164 in words is "one hundred six million, six hundred twelve thousand, one hundred sixty-four".