100882271 has 16 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 82063968.

The previous prime is 100882261. The next prime is 100882291. The reversal of 100882271 is 172288001.

It is a de Polignac number, because none of the positive numbers 2^k-100882271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100882261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7766 + ... + 16188.

It is an arithmetic number, because the mean of its divisors is an integer number (7581600).

Almost surely, 2^100882271 is an apocalyptic number.

100882271 is a deficient number, since it is larger than the sum of its proper divisors (20423329).

100882271 is an equidigital number, since it uses as much as digits as its factorization.

100882271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8518.

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 100882271 is about 10044.0166766090. The cubic root of 100882271 is about 465.5199348610.

The spelling of 100882271 in words is "one hundred million, eight hundred eighty-two thousand, two hundred seventy-one".