100456013 has 16 divisors (see below), whose sum is σ = 116734464. Its totient is φ = 84672000.

The previous prime is 100456001. The next prime is 100456033. The reversal of 100456013 is 310654001.

It is not a de Polignac number, because 100456013 - 2²² = 96261709 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100456033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133388 + ... + 134138.

It is an arithmetic number, because the mean of its divisors is an integer number (7295904).

Almost surely, 2^100456013 is an apocalyptic number.

It is an amenable number.

100456013 is a deficient number, since it is larger than the sum of its proper divisors (16278451).

100456013 is an equidigital number, since it uses as much as digits as its factorization.

100456013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 100456013 is about 10022.7747156164. The cubic root of 100456013 is about 464.8633552324.

The spelling of 100456013 in words is "one hundred million, four hundred fifty-six thousand, thirteen".