101885 has 16 divisors (see below), whose sum is σ = 145152. Its totient is φ = 67200.

The previous prime is 101879. The next prime is 101891. The reversal of 101885 is 588101.

101885 = T₁₄ + T₁₅ + ... + T₈₄.

101885 = 36² + 37² + ... + 70².

It is an interprime number because it is at equal distance from previous prime (101879) and next prime (101891).

It is not a de Polignac number, because 101885 - 2⁴ = 101869 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101885.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400 + ... + 1470.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2¹⁰¹⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

101885 is a deficient number, since it is larger than the sum of its proper divisors (43267).

101885 is an equidigital number, since it uses as much as digits as its factorization.

101885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 101885 is about 319.1942981947. The cubic root of 101885 is about 46.7057212749.

Adding to 101885 its reverse (588101), we get a palindrome (689986).

The spelling of 101885 in words is "one hundred one thousand, eight hundred eighty-five".