100052953 has 48 divisors (see below), whose sum is σ = 139043520. Its totient is φ = 70761600.

The previous prime is 100052899. The next prime is 100052957. The reversal of 100052953 is 359250001.

It is not a de Polignac number, because 100052953 - 2⁹ = 100052441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100052957) 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 47 ways as a sum of consecutive naturals, for example, 763698 + ... + 763828.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2^100052953 is an apocalyptic number.

100052953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100052953 is a deficient number, since it is larger than the sum of its proper divisors (38990567).

100052953 is a wasteful number, since it uses less digits than its factorization.

100052953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 100052953 is about 10002.6472995902. The cubic root of 100052953 is about 464.2407975888.

The spelling of 100052953 in words is "one hundred million, fifty-two thousand, nine hundred fifty-three".