100248896 has 56 divisors (see below), whose sum is σ = 218639136. Its totient is φ = 45227520.

The previous prime is 100248893. The next prime is 100248899. The reversal of 100248896 is 698842001.

It is an interprime number because it is at equal distance from previous prime (100248893) and next prime (100248899).

It is a super-2 number, since 2×100248896² = 20099682298437632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100248893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110075 + ... + 110981.

Almost surely, 2^100248896 is an apocalyptic number.

100248896 is a gapful number since it is divisible by the number (16) 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 100248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109319568).

100248896 is an abundant number, since it is smaller than the sum of its proper divisors (118390240).

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

100248896 is a wasteful number, since it uses less digits than its factorization.

100248896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 100248896 is about 10012.4370659695. The cubic root of 100248896 is about 464.5436552751.

The spelling of 100248896 in words is "one hundred million, two hundred forty-eight thousand, eight hundred ninety-six".