248991020100 has 81 divisors (see below), whose sum is σ = 780495444183. Its totient is φ = 66393613440.

The previous prime is 248991020093. The next prime is 248991020111. The reversal of 248991020100 is 1020199842.

The square root of 248991020100 is 498990.

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

248991020100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 66060308484 + 182930711616 = 257022^2 + 427704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14961384 + ... + 14978016.

Almost surely, 2^248991020100 is an apocalyptic number.

248991020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

248991020100 is the 498990-th square number.

It is an amenable number.

248991020100 is an abundant number, since it is smaller than the sum of its proper divisors (531504424083).

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

248991020100 is an equidigital number, since it uses as much as digits as its factorization.

248991020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33286 (or 16643 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 248991020100 by its sum of digits (36), we get a square (8963676723600 = 2993940²).

248991020100 divided by its sum of digits (36) gives a square (6916417225 = 83165²).

The spelling of 248991020100 in words is "two hundred forty-eight billion, nine hundred ninety-one million, twenty thousand, one hundred".