10048900 has 27 divisors (see below), whose sum is σ = 21875119. Its totient is φ = 4006880.

The previous prime is 10048897. The next prime is 10048943. The reversal of 10048900 is 984001.

The square root of 10048900 is 3170.

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 4056196 + 5992704 = 2014^2 + 2448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31542 + ... + 31858.

Almost surely, 2^10048900 is an apocalyptic number.

10048900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10048900 is the 3170-th square number.

It is an amenable number.

10048900 is an abundant number, since it is smaller than the sum of its proper divisors (11826219).

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

10048900 is an equidigital number, since it uses as much as digits as its factorization.

10048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The cubic root of 10048900 is about 215.7940709959.

The spelling of 10048900 in words is "ten million, forty-eight thousand, nine hundred".