101915 has 16 divisors (see below), whose sum is σ = 142560. Its totient is φ = 69120.

The previous prime is 101891. The next prime is 101917. The reversal of 101915 is 519101.

It is a happy number.

It is not a de Polignac number, because 101915 - 2¹⁴ = 85531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 101893 and 101902.

It is not an unprimeable number, because it can be changed into a prime (101917) 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, 881 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2¹⁰¹⁹¹⁵ is an apocalyptic number.

101915 is a deficient number, since it is larger than the sum of its proper divisors (40645).

101915 is a wasteful number, since it uses less digits than its factorization.

101915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its (nonzero) digits is 45, while the sum is 17.

The square root of 101915 is about 319.2412880565. The cubic root of 101915 is about 46.7103049858.

101915 divided by its sum of digits (17) gives a palindrome (5995).

The spelling of 101915 in words is "one hundred one thousand, nine hundred fifteen".