106921164 has 48 divisors (see below), whose sum is σ = 285723648. Its totient is φ = 30484608.

The previous prime is 106921127. The next prime is 106921237. The reversal of 106921164 is 461129601.

It is a happy number.

It is a super-2 number, since 2×106921164² = 22864270622229792, which contains 22 as substring.

It is an unprimeable number.

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, 50797 + ... + 52859.

It is an arithmetic number, because the mean of its divisors is an integer number (5952576).

Almost surely, 2^106921164 is an apocalyptic number.

106921164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106921164 is an abundant number, since it is smaller than the sum of its proper divisors (178802484).

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

106921164 is a wasteful number, since it uses less digits than its factorization.

106921164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 106921164 is about 10340.2690487240. The cubic root of 106921164 is about 474.6293159689.

The spelling of 106921164 in words is "one hundred six million, nine hundred twenty-one thousand, one hundred sixty-four".