100934249409 has 18 divisors (see below), whose sum is σ = 169597004850. Its totient is φ = 57676713696.

The previous prime is 100934249393. The next prime is 100934249443. The reversal of 100934249409 is 904942439001.

It can be written as a sum of positive squares in only one way, i.e., 100885640625 + 48608784 = 317625^2 + 6972^2 .

It is not a de Polignac number, because 100934249409 - 2⁴ = 100934249393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100934249489) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114437484 + ... + 114438365.

It is an arithmetic number, because the mean of its divisors is an integer number (9422055825).

Almost surely, 2^100934249409 is an apocalyptic number.

It is an amenable number.

100934249409 is a deficient number, since it is larger than the sum of its proper divisors (68662755441).

100934249409 is a wasteful number, since it uses less digits than its factorization.

100934249409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228875869 (or 228875859 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 100934249409 in words is "one hundred billion, nine hundred thirty-four million, two hundred forty-nine thousand, four hundred nine".