106515315 has 12 divisors (see below), whose sum is σ = 184626624. Its totient is φ = 56808144.

The previous prime is 106515313. The next prime is 106515317. The reversal of 106515315 is 513515601.

106515315 is a `hidden beast` number, since 1 + 0 + 651 + 5 + 3 + 1 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106515313) and next prime (106515317).

It is not a de Polignac number, because 106515315 - 2¹ = 106515313 is a prime.

It is a super-2 number, since 2×106515315² = 22691024659098450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106515313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1183459 + ... + 1183548.

It is an arithmetic number, because the mean of its divisors is an integer number (15385552).

Almost surely, 2^106515315 is an apocalyptic number.

106515315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106515315 is a deficient number, since it is larger than the sum of its proper divisors (78111309).

106515315 is a wasteful number, since it uses less digits than its factorization.

106515315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367018 (or 2367015 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 106515315 is about 10320.6257077757. The cubic root of 106515315 is about 474.0280253685.

The spelling of 106515315 in words is "one hundred six million, five hundred fifteen thousand, three hundred fifteen".