100802240 has 112 divisors (see below), whose sum is σ = 299337984. Its totient is φ = 31411200.

The previous prime is 100802227. The next prime is 100802249. The reversal of 100802240 is 42208001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×100802240² = 20322183178035200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100802249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22595 + ... + 26685.

Almost surely, 2^100802240 is an apocalyptic number.

100802240 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 100802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149668992).

100802240 is an abundant number, since it is smaller than the sum of its proper divisors (198535744).

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

100802240 is a wasteful number, since it uses less digits than its factorization.

100802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 100802240 is about 10040.0318724594. The cubic root of 100802240 is about 465.3968016228.

The spelling of 100802240 in words is "one hundred million, eight hundred two thousand, two hundred forty".