100088289 has 24 divisors (see below), whose sum is σ = 167224512. Its totient is φ = 56501280.

The previous prime is 100088279. The next prime is 100088291. The reversal of 100088289 is 982880001.

It is not a de Polignac number, because 100088289 - 2⁷ = 100088161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100088279) 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 23 ways as a sum of consecutive naturals, for example, 4342 + ... + 14799.

It is an arithmetic number, because the mean of its divisors is an integer number (6967688).

Almost surely, 2^100088289 is an apocalyptic number.

It is an amenable number.

100088289 is a deficient number, since it is larger than the sum of its proper divisors (67136223).

100088289 is a wasteful number, since it uses less digits than its factorization.

100088289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19237 (or 19234 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 100088289 is about 10004.4134760615. The cubic root of 100088289 is about 464.2954435921.

The spelling of 100088289 in words is "one hundred million, eighty-eight thousand, two hundred eighty-nine".