100098040 has 96 divisors (see below), whose sum is σ = 273647520. Its totient is φ = 32274432.

The previous prime is 100098029. The next prime is 100098071. The reversal of 100098040 is 40890001.

It is a super-2 number, since 2×100098040² = 20039235223683200, 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, 80302 + ... + 81538.

It is an arithmetic number, because the mean of its divisors is an integer number (2850495).

Almost surely, 2^100098040 is an apocalyptic number.

100098040 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 100098040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136823760).

100098040 is an abundant number, since it is smaller than the sum of its proper divisors (173549480).

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

100098040 is a wasteful number, since it uses less digits than its factorization.

100098040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 100098040 is about 10004.9007991084. The cubic root of 100098040 is about 464.3105209400.

The spelling of 100098040 in words is "one hundred million, ninety-eight thousand, forty".