100252881 has 12 divisors (see below), whose sum is σ = 144926340. Its totient is φ = 66781440.

The previous prime is 100252877. The next prime is 100252891. The reversal of 100252881 is 188252001.

It can be written as a sum of positive squares in 2 ways, for example, as 55577025 + 44675856 = 7455^2 + 6684^2 .

It is not a de Polignac number, because 100252881 - 2² = 100252877 is a prime.

It is a super-2 number, since 2×100252881² = 20101280297600322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100252861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9661 + ... + 17141.

It is an arithmetic number, because the mean of its divisors is an integer number (12077195).

Almost surely, 2^100252881 is an apocalyptic number.

It is an amenable number.

100252881 is a deficient number, since it is larger than the sum of its proper divisors (44673459).

100252881 is a wasteful number, since it uses less digits than its factorization.

100252881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 100252881 is about 10012.6360664912. The cubic root of 100252881 is about 464.5498105613.

The spelling of 100252881 in words is "one hundred million, two hundred fifty-two thousand, eight hundred eighty-one".