100456 has 16 divisors (see below), whose sum is σ = 195300. Its totient is φ = 48384.

The previous prime is 100447. The next prime is 100459. The reversal of 100456 is 654001.

It can be written as a sum of positive squares in 2 ways, for example, as 96100 + 4356 = 310^2 + 66^2 .

It is not an unprimeable number, because it can be changed into a prime (100459) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 448.

2¹⁰⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

100456 is a deficient number, since it is larger than the sum of its proper divisors (94844).

100456 is a wasteful number, since it uses less digits than its factorization.

100456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 100456 is about 316.9479452528. The cubic root of 100456 is about 46.4863335180.

Adding to 100456 its product of nonzero digits (120), we get a triangular number (100576 = T₄₄₈).

Adding to 100456 its reverse (654001), we get a palindrome (754457).

The spelling of 100456 in words is "one hundred thousand, four hundred fifty-six".