100200240 has 300 divisors, whose sum is σ = 406368336. Its totient is φ = 22415616.

The previous prime is 100200223. The next prime is 100200253. The reversal of 100200240 is 42002001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2131897 + ... + 2131943.

Almost surely, 2^100200240 is an apocalyptic number.

100200240 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 100200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203184168).

100200240 is an abundant number, since it is smaller than the sum of its proper divisors (306168096).

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

100200240 is an equidigital number, since it uses as much as digits as its factorization.

100200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 100200240 is about 10010.0069930046. The cubic root of 100200240 is about 464.4684873855.

Adding to 100200240 its reverse (42002001), we get a palindrome (142202241).

The spelling of 100200240 in words is "one hundred million, two hundred thousand, two hundred forty".