100248120 has 144 divisors (see below), whose sum is σ = 379065960. Its totient is φ = 22909824.

The previous prime is 100248107. The next prime is 100248131. The reversal of 100248120 is 21842001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100248093 and 100248102.

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, 14799 + ... + 20481.

Almost surely, 2^100248120 is an apocalyptic number.

100248120 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 100248120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189532980).

100248120 is an abundant number, since it is smaller than the sum of its proper divisors (278817840).

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

100248120 is a wasteful number, since it uses less digits than its factorization.

100248120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 100248120 is about 10012.3983140904. The cubic root of 100248120 is about 464.5424566358.

The spelling of 100248120 in words is "one hundred million, two hundred forty-eight thousand, one hundred twenty".