106882515 has 12 divisors (see below), whose sum is σ = 185263104. Its totient is φ = 57003984.

The previous prime is 106882499. The next prime is 106882537. The reversal of 106882515 is 515288601.

106882515 is a `hidden beast` number, since 1 + 0 + 68 + 82 + 515 = 666.

It is not a de Polignac number, because 106882515 - 2⁴ = 106882499 is a prime.

It is a super-2 number, since 2×106882515² = 22847744025450450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106882515.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1187539 + ... + 1187628.

It is an arithmetic number, because the mean of its divisors is an integer number (15438592).

Almost surely, 2^106882515 is an apocalyptic number.

106882515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106882515 is a deficient number, since it is larger than the sum of its proper divisors (78380589).

106882515 is a wasteful number, since it uses less digits than its factorization.

106882515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375178 (or 2375175 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 106882515 is about 10338.4000212799. The cubic root of 106882515 is about 474.5721206845.

It can be divided in two parts, 10688 and 2515, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 106882515 in words is "one hundred six million, eight hundred eighty-two thousand, five hundred fifteen".