106508315 has 16 divisors (see below), whose sum is σ = 136129248. Its totient is φ = 79719936.

The previous prime is 106508309. The next prime is 106508317. The reversal of 106508315 is 513805601.

It is not a de Polignac number, because 106508315 - 2¹² = 106504219 is a prime.

It is a super-2 number, since 2×106508315² = 22688042328278450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106508317) 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, 11084 + ... + 18326.

It is an arithmetic number, because the mean of its divisors is an integer number (8508078).

Almost surely, 2^106508315 is an apocalyptic number.

106508315 is a deficient number, since it is larger than the sum of its proper divisors (29620933).

106508315 is a wasteful number, since it uses less digits than its factorization.

106508315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7438.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 106508315 is about 10320.2865754784. The cubic root of 106508315 is about 474.0176410438.

The spelling of 106508315 in words is "one hundred six million, five hundred eight thousand, three hundred fifteen".