100331253 has 24 divisors (see below), whose sum is σ = 158498496. Its totient is φ = 60652800.

The previous prime is 100331249. The next prime is 100331261. The reversal of 100331253 is 352133001.

It is not a de Polignac number, because 100331253 - 2² = 100331249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47173 + ... + 49253.

It is an arithmetic number, because the mean of its divisors is an integer number (6604104).

Almost surely, 2^100331253 is an apocalyptic number.

It is an amenable number.

100331253 is a deficient number, since it is larger than the sum of its proper divisors (58167243).

100331253 is a wasteful number, since it uses less digits than its factorization.

100331253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 100331253 is about 10016.5489566018. The cubic root of 100331253 is about 464.6708319037.

Adding to 100331253 its reverse (352133001), we get a palindrome (452464254).

The spelling of 100331253 in words is "one hundred million, three hundred thirty-one thousand, two hundred fifty-three".