100254253203 has 32 divisors (see below), whose sum is σ = 159968793600. Its totient is φ = 61687601568.

The previous prime is 100254253193. The next prime is 100254253243. The reversal of 100254253203 is 302352452001.

It is a happy number.

100254253203 is a `hidden beast` number, since 10 + 0 + 25 + 425 + 3 + 203 = 666.

It is not a de Polignac number, because 100254253203 - 2⁵ = 100254253171 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100254253243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5473126 + ... + 5491412.

It is an arithmetic number, because the mean of its divisors is an integer number (4999024800).

Almost surely, 2^100254253203 is an apocalyptic number.

100254253203 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100254253203 is a deficient number, since it is larger than the sum of its proper divisors (59714540397).

100254253203 is a wasteful number, since it uses less digits than its factorization.

100254253203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33928 (or 33922 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 100254253203 in words is "one hundred billion, two hundred fifty-four million, two hundred fifty-three thousand, two hundred three".