100882305 has 24 divisors (see below), whose sum is σ = 184067520. Its totient is φ = 50971680.

The previous prime is 100882297. The next prime is 100882307. The reversal of 100882305 is 503288001.

It is a happy number.

It is not a de Polignac number, because 100882305 - 2³ = 100882297 is a prime.

It is a super-2 number, since 2×100882305² = 20354478924226050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100882307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58141 + ... + 59850.

It is an arithmetic number, because the mean of its divisors is an integer number (7669480).

Almost surely, 2^100882305 is an apocalyptic number.

100882305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100882305 is a deficient number, since it is larger than the sum of its proper divisors (83185215).

100882305 is a wasteful number, since it uses less digits than its factorization.

100882305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118021 (or 118018 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 100882305 is about 10044.0183691588. The cubic root of 100882305 is about 465.5199871585.

The spelling of 100882305 in words is "one hundred million, eight hundred eighty-two thousand, three hundred five".