106315 has 8 divisors (see below), whose sum is σ = 139248. Its totient is φ = 77280.

The previous prime is 106307. The next prime is 106319. The reversal of 106315 is 513601.

106315 = 14² + 15² + ... + 68².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106315 - 2³ = 106307 is a prime.

It is a super-2 number, since 2×106315² = 22605758450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 912 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (17406).

2¹⁰⁶³¹⁵ is an apocalyptic number.

106315 is a deficient number, since it is larger than the sum of its proper divisors (32933).

106315 is a wasteful number, since it uses less digits than its factorization.

106315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 106315 is about 326.0598104643. The cubic root of 106315 is about 47.3730683116.

Adding to 106315 its reverse (513601), we get a palindrome (619916).

The spelling of 106315 in words is "one hundred six thousand, three hundred fifteen".