100890800 has 60 divisors (see below), whose sum is σ = 247015440. Its totient is φ = 39586560.

The previous prime is 100890781. The next prime is 100890809. The reversal of 100890800 is 8098001.

It is a super-4 number, since 4×100890800⁴ (a number of 33 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100890800.

It is not an unprimeable number, because it can be changed into a prime (100890809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18821 + ... + 23579.

It is an arithmetic number, because the mean of its divisors is an integer number (4116924).

Almost surely, 2^100890800 is an apocalyptic number.

100890800 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 100890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123507720).

100890800 is an abundant number, since it is smaller than the sum of its proper divisors (146124640).

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

100890800 is a wasteful number, since it uses less digits than its factorization.

100890800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 100890800 is about 10044.4412487704. The cubic root of 100890800 is about 465.5330534780.

The spelling of 100890800 in words is "one hundred million, eight hundred ninety thousand, eight hundred".