919908900 has 135 divisors (see below), whose sum is σ = 2990856099. Its totient is φ = 244581120.

The previous prime is 919908889. The next prime is 919908929. The reversal of 919908900 is 9809919.

The square root of 919908900 is 30330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 127373796 + 792535104 = 11286^2 + 28152^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2729532 + ... + 2729868.

Almost surely, 2^919908900 is an apocalyptic number.

919908900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

919908900 is the 30330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 919908900

919908900 is an abundant number, since it is smaller than the sum of its proper divisors (2070947199).

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

919908900 is a wasteful number, since it uses less digits than its factorization.

919908900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The cubic root of 919908900 is about 972.5567226802.

The spelling of 919908900 in words is "nine hundred nineteen million, nine hundred eight thousand, nine hundred".