100248048 has 120 divisors (see below), whose sum is σ = 306873216. Its totient is φ = 30412800.

The previous prime is 100248019. The next prime is 100248073. The reversal of 100248048 is 840842001.

It is a super-2 number, since 2×100248048² = 20099342255620608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75228 + ... + 76548.

Almost surely, 2^100248048 is an apocalyptic number.

100248048 is a gapful number since it is divisible by the number (18) 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 100248048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153436608).

100248048 is an abundant number, since it is smaller than the sum of its proper divisors (206625168).

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

100248048 is a wasteful number, since it uses less digits than its factorization.

100248048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 100248048 is about 10012.3947185476. The cubic root of 100248048 is about 464.5423454215.

The spelling of 100248048 in words is "one hundred million, two hundred forty-eight thousand, forty-eight".