100111164 has 24 divisors (see below), whose sum is σ = 247333968. Its totient is φ = 31407360.

The previous prime is 100111127. The next prime is 100111169. The reversal of 100111164 is 461111001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111169) by changing a digit.

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, 245167 + ... + 245574.

It is an arithmetic number, because the mean of its divisors is an integer number (10305582).

Almost surely, 2^100111164 is an apocalyptic number.

It is an amenable number.

100111164 is an abundant number, since it is smaller than the sum of its proper divisors (147222804).

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

100111164 is a wasteful number, since it uses less digits than its factorization.

100111164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490765 (or 490763 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 100111164 is about 10005.5566561786. The cubic root of 100111164 is about 464.3308121964.

Adding to 100111164 its reverse (461111001), we get a palindrome (561222165).

It can be divided in two parts, 10011 and 1164, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 100111164 in words is "one hundred million, one hundred eleven thousand, one hundred sixty-four".