100800816 has 40 divisors (see below), whose sum is σ = 260816640. Its totient is φ = 33546816.

The previous prime is 100800811. The next prime is 100800829. The reversal of 100800816 is 618008001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100800811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39021 + ... + 41523.

It is an arithmetic number, because the mean of its divisors is an integer number (6520416).

Almost surely, 2^100800816 is an apocalyptic number.

100800816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100800816 is an abundant number, since it is smaller than the sum of its proper divisors (160015824).

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

100800816 is a wasteful number, since it uses less digits than its factorization.

100800816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 100800816 is about 10039.9609560994. The cubic root of 100800816 is about 465.3946101101.

Adding to 100800816 its reverse (618008001), we get a palindrome (718808817).

The spelling of 100800816 in words is "one hundred million, eight hundred thousand, eight hundred sixteen".