100809280 has 112 divisors (see below), whose sum is σ = 282147264. Its totient is φ = 33822720.

The previous prime is 100809263. The next prime is 100809281. The reversal of 100809280 is 82908001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100809281) 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, 44659 + ... + 46861.

It is an arithmetic number, because the mean of its divisors is an integer number (2519172).

Almost surely, 2^100809280 is an apocalyptic number.

100809280 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 100809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141073632).

100809280 is an abundant number, since it is smaller than the sum of its proper divisors (181337984).

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

100809280 is a wasteful number, since it uses less digits than its factorization.

100809280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 100809280 is about 10040.3824628348. The cubic root of 100809280 is about 465.4076357643.

The spelling of 100809280 in words is "one hundred million, eight hundred nine thousand, two hundred eighty".