101090304 has 132 divisors (see below), whose sum is σ = 333808384. Its totient is φ = 28864512.

The previous prime is 101090281. The next prime is 101090321. The reversal of 101090304 is 403090101.

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

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, 63729 + ... + 65295.

Almost surely, 2^101090304 is an apocalyptic number.

101090304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166904192).

101090304 is an abundant number, since it is smaller than the sum of its proper divisors (232718080).

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

101090304 is a wasteful number, since it uses less digits than its factorization.

101090304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101090304 is about 10054.3674092406. The cubic root of 101090304 is about 465.8397036887.

The spelling of 101090304 in words is "one hundred one million, ninety thousand, three hundred four".