101129904 has 80 divisors (see below), whose sum is σ = 292659840. Its totient is φ = 33433920.

The previous prime is 101129891. The next prime is 101129921. The reversal of 101129904 is 409921101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55699 + ... + 57485.

It is an arithmetic number, because the mean of its divisors is an integer number (3658248).

Almost surely, 2^101129904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101129904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146329920).

101129904 is an abundant number, since it is smaller than the sum of its proper divisors (191529936).

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

101129904 is a wasteful number, since it uses less digits than its factorization.

101129904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 101129904 is about 10056.3365098827. The cubic root of 101129904 is about 465.9005233825.

The spelling of 101129904 in words is "one hundred one million, one hundred twenty-nine thousand, nine hundred four".