100248660 has 108 divisors (see below), whose sum is σ = 323763804. Its totient is φ = 25021440.

The previous prime is 100248641. The next prime is 100248689. The reversal of 100248660 is 66842001.

It can be written as a sum of positive squares in 6 ways, for example, as 32285124 + 67963536 = 5682^2 + 8244^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 553770 + ... + 553950.

It is an arithmetic number, because the mean of its divisors is an integer number (2997813).

Almost surely, 2^100248660 is an apocalyptic number.

100248660 is a gapful number since it is divisible by the number (10) 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 100248660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161881902).

100248660 is an abundant number, since it is smaller than the sum of its proper divisors (223515144).

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

100248660 is a wasteful number, since it uses less digits than its factorization.

100248660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100248660 is about 10012.4252806201. The cubic root of 100248660 is about 464.5432907411.

The spelling of 100248660 in words is "one hundred million, two hundred forty-eight thousand, six hundred sixty".