100406800 has 60 divisors (see below), whose sum is σ = 259796740. Its totient is φ = 37071360.

The previous prime is 100406797. The next prime is 100406807. The reversal of 100406800 is 8604001.

It can be written as a sum of positive squares in 6 ways, for example, as 26584336 + 73822464 = 5156^2 + 8592^2 .

It is not an unprimeable number, because it can be changed into a prime (100406807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4455 + ... + 14854.

Almost surely, 2^100406800 is an apocalyptic number.

100406800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100406800 is an abundant number, since it is smaller than the sum of its proper divisors (159389940).

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

100406800 is a wasteful number, since it uses less digits than its factorization.

100406800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19340 (or 19329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 100406800 is about 10020.3193561882. The cubic root of 100406800 is about 464.7874312651.

The spelling of 100406800 in words is "one hundred million, four hundred six thousand, eight hundred".