164101931 has 12 divisors (see below), whose sum is σ = 191150640. Its totient is φ = 140469840.

The previous prime is 164101897. The next prime is 164101933. The reversal of 164101931 is 139101461.

It is not a de Polignac number, because 164101931 - 2¹⁰ = 164100907 is a prime.

It is a super-2 number, since 2×164101931² = 53858887515857522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164101931.

It is not an unprimeable number, because it can be changed into a prime (164101933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44330 + ... + 47888.

It is an arithmetic number, because the mean of its divisors is an integer number (15929220).

Almost surely, 2^164101931 is an apocalyptic number.

164101931 is a deficient number, since it is larger than the sum of its proper divisors (27048709).

164101931 is an equidigital number, since it uses as much as digits as its factorization.

164101931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 164101931 is about 12810.2275936066. The cubic root of 164101931 is about 547.4837464508.

The spelling of 164101931 in words is "one hundred sixty-four million, one hundred one thousand, nine hundred thirty-one".