101882 has 12 divisors (see below), whose sum is σ = 168378. Its totient is φ = 46200.

The previous prime is 101879. The next prime is 101891. The reversal of 101882 is 288101.

It can be written as a sum of positive squares in only one way, i.e., 101761 + 121 = 319^2 + 11^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 32 + ... + 452.

2¹⁰¹⁸⁸² is an apocalyptic number.

101882 is a deficient number, since it is larger than the sum of its proper divisors (66496).

101882 is a wasteful number, since it uses less digits than its factorization.

101882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 101882 is about 319.1895988280. The cubic root of 101882 is about 46.7052628544.

Adding to 101882 its reverse (288101), we get a palindrome (389983).

The spelling of 101882 in words is "one hundred one thousand, eight hundred eighty-two".