101131164 has 36 divisors (see below), whose sum is σ = 270676224. Its totient is φ = 31727232.

The previous prime is 101131159. The next prime is 101131183. The reversal of 101131164 is 461131101.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82012 + ... + 83235.

It is an arithmetic number, because the mean of its divisors is an integer number (7518784).

Almost surely, 2^101131164 is an apocalyptic number.

It is an amenable number.

101131164 is an abundant number, since it is smaller than the sum of its proper divisors (169545060).

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

101131164 is a wasteful number, since it uses less digits than its factorization.

101131164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165274 (or 165269 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101131164 is about 10056.3991567559. The cubic root of 101131164 is about 465.9024582939.

Adding to 101131164 its reverse (461131101), we get a palindrome (562262265).

The spelling of 101131164 in words is "one hundred one million, one hundred thirty-one thousand, one hundred sixty-four".