100509906 has 32 divisors (see below), whose sum is σ = 230428800. Its totient is φ = 28630656.

The previous prime is 100509859. The next prime is 100509947. The reversal of 100509906 is 609905001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11230 + ... + 18086.

It is an arithmetic number, because the mean of its divisors is an integer number (7200900).

Almost surely, 2^100509906 is an apocalyptic number.

100509906 is an abundant number, since it is smaller than the sum of its proper divisors (129918894).

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

100509906 is a wasteful number, since it uses less digits than its factorization.

100509906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7218.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 100509906 is about 10025.4628820818. The cubic root of 100509906 is about 464.9464708875.

The spelling of 100509906 in words is "one hundred million, five hundred nine thousand, nine hundred six".