100008456 has 32 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 32706752.

The previous prime is 100008427. The next prime is 100008479. The reversal of 100008456 is 654800001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38040 + ... + 40583.

It is an arithmetic number, because the mean of its divisors is an integer number (7960680).

Almost surely, 2^100008456 is an apocalyptic number.

It is an amenable number.

100008456 is an abundant number, since it is smaller than the sum of its proper divisors (154733304).

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

100008456 is a wasteful number, since it uses less digits than its factorization.

100008456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78685 (or 78681 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 100008456 is about 10000.4227910624. The cubic root of 100008456 is about 464.1719660843.

Adding to 100008456 its reverse (654800001), we get a palindrome (754808457).

The spelling of 100008456 in words is "one hundred million, eight thousand, four hundred fifty-six".