105315 has 32 divisors (see below), whose sum is σ = 207360. Its totient is φ = 44544.

The previous prime is 105277. The next prime is 105319. The reversal of 105315 is 513501.

105315 = T₁₆ + T₁₇ + ... + T₈₅.

It is not a de Polignac number, because 105315 - 2⁶ = 105251 is a prime.

It is a super-2 number, since 2×105315² = 22182498450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

105315 is a modest number, since divided by 315 gives 105 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 105294 and 105303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756 + ... + 1814.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2¹⁰⁵³¹⁵ is an apocalyptic number.

105315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105315 is a deficient number, since it is larger than the sum of its proper divisors (102045).

105315 is a wasteful number, since it uses less digits than its factorization.

105315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 105315 is about 324.5227264769. The cubic root of 105315 is about 47.2240696445.

105315 divided by its sum of digits (15) gives a triangular number (7021 = T₁₁₈).

Adding to 105315 its reverse (513501), we get a palindrome (618816).

The spelling of 105315 in words is "one hundred five thousand, three hundred fifteen".