100040225193 has 12 divisors (see below), whose sum is σ = 153002697588. Its totient is φ = 62770337280.

The previous prime is 100040225191. The next prime is 100040225203. The reversal of 100040225193 is 391522040001.

100040225193 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 402 + 251 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51821335449 + 48218889744 = 227643^2 + 219588^2 .

It is not a de Polignac number, because 100040225193 - 2¹ = 100040225191 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100040225191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326928688 + ... + 326928993.

It is an arithmetic number, because the mean of its divisors is an integer number (12750224799).

Almost surely, 2^100040225193 is an apocalyptic number.

It is an amenable number.

100040225193 is a deficient number, since it is larger than the sum of its proper divisors (52962472395).

100040225193 is a wasteful number, since it uses less digits than its factorization.

100040225193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653857704 (or 653857701 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 100040225193 its reverse (391522040001), we get a palindrome (491562265194).

The spelling of 100040225193 in words is "one hundred billion, forty million, two hundred twenty-five thousand, one hundred ninety-three".