100900800 has 756 divisors, whose sum is σ = 490109256. Its totient is φ = 19353600.

The previous prime is 100900799. The next prime is 100900801. The reversal of 100900800 is 8009001.

It is an interprime number because it is at equal distance from previous prime (100900799) and next prime (100900801).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100900801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7761594 + ... + 7761606.

Almost surely, 2^100900800 is an apocalyptic number.

100900800 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 100900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245054628).

100900800 is an abundant number, since it is smaller than the sum of its proper divisors (389208456).

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

100900800 is a wasteful number, since it uses less digits than its factorization.

100900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 100900800 is about 10044.9390242052. The cubic root of 100900800 is about 465.5484337265.

Adding to 100900800 its reverse (8009001), we get a palindrome (108909801).

The spelling of 100900800 in words is "one hundred million, nine hundred thousand, eight hundred".