15105 has 16 divisors (see below), whose sum is σ = 25920. Its totient is φ = 7488.

The previous prime is 15101. The next prime is 15107. The reversal of 15105 is 50151.

15105 = T₃₀ + T₃₁ + ... + T₄₈.

15105 = 20² + 21² + ... + 37².

15105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15105 - 2² = 15101 is a prime.

It is a super-2 number, since 2×15105² = 456322050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15101) 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, 259 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

It is a Proth number, since it is equal to 59 ⋅ 2⁸ + 1 and 59 < 2⁸.

2¹⁵¹⁰⁵ is an apocalyptic number.

15105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15105 is a deficient number, since it is larger than the sum of its proper divisors (10815).

15105 is a wasteful number, since it uses less digits than its factorization.

15105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 15105 is about 122.9024003020. The cubic root of 15105 is about 24.7195319399.

Adding to 15105 its reverse (50151), we get a palindrome (65256).

It can be divided in two parts, 15 and 105, that added together give a triangular number (120 = T₁₅).

The spelling of 15105 in words is "fifteen thousand, one hundred five".