101813904 has 60 divisors (see below), whose sum is σ = 287505036. Its totient is φ = 33632256.

The previous prime is 101813851. The next prime is 101813911. The reversal of 101813904 is 409318101.

It can be written as a sum of positive squares in 2 ways, for example, as 52533504 + 49280400 = 7248^2 + 7020^2 .

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, 13144 + ... + 19400.

Almost surely, 2^101813904 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 101813904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143752518).

101813904 is an abundant number, since it is smaller than the sum of its proper divisors (185691132).

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

101813904 is a wasteful number, since it uses less digits than its factorization.

101813904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6384 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101813904 is about 10090.2876073975. The cubic root of 101813904 is about 466.9485489737.

The spelling of 101813904 in words is "one hundred one million, eight hundred thirteen thousand, nine hundred four".