100005456 has 40 divisors (see below), whose sum is σ = 267259680. Its totient is φ = 32185216.

The previous prime is 100005443. The next prime is 100005457. The reversal of 100005456 is 654500001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005457) 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, 34530 + ... + 37313.

It is an arithmetic number, because the mean of its divisors is an integer number (6681492).

Almost surely, 2^100005456 is an apocalyptic number.

100005456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100005456 is an abundant number, since it is smaller than the sum of its proper divisors (167254224).

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

100005456 is a wasteful number, since it uses less digits than its factorization.

100005456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71883 (or 71877 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 100005456 is about 10000.2727962791. The cubic root of 100005456 is about 464.1673247107.

Adding to 100005456 its reverse (654500001), we get a palindrome (754505457).

The spelling of 100005456 in words is "one hundred million, five thousand, four hundred fifty-six".