100005164 has 24 divisors (see below), whose sum is σ = 200393760. Its totient is φ = 42777216.

The previous prime is 100005149. The next prime is 100005193. The reversal of 100005164 is 461500001.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 12794 + ... + 19070.

It is an arithmetic number, because the mean of its divisors is an integer number (8349740).

Almost surely, 2^100005164 is an apocalyptic number.

100005164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100005164 is an abundant number, since it is smaller than the sum of its proper divisors (100388596).

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

100005164 is a wasteful number, since it uses less digits than its factorization.

100005164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857 (or 6855 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 100005164 is about 10000.2581966667. The cubic root of 100005164 is about 464.1668729453.

Adding to 100005164 its reverse (461500001), we get a palindrome (561505165).

The spelling of 100005164 in words is "one hundred million, five thousand, one hundred sixty-four".