100098240 has 112 divisors (see below), whose sum is σ = 346740480. Its totient is φ = 24263680.

The previous prime is 100098239. The next prime is 100098263. The reversal of 100098240 is 42890001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100098240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5821 + ... + 15299.

Almost surely, 2^100098240 is an apocalyptic number.

100098240 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 100098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173370240).

100098240 is an abundant number, since it is smaller than the sum of its proper divisors (246642240).

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

100098240 is a wasteful number, since it uses less digits than its factorization.

100098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 100098240 is about 10004.9107942050. The cubic root of 100098240 is about 464.3108301770.

The spelling of 100098240 in words is "one hundred million, ninety-eight thousand, two hundred forty".