106115517 has 12 divisors (see below), whose sum is σ = 153804924. Its totient is φ = 70500480.

The previous prime is 106115507. The next prime is 106115531. The reversal of 106115517 is 715511601.

It is a happy number.

106115517 is a `hidden beast` number, since 106 + 1 + 1 + 551 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55264356 + 50851161 = 7434^2 + 7131^2 .

It is not a de Polignac number, because 106115517 - 2¹⁶ = 106049981 is a prime.

It is a super-2 number, since 2×106115517² = 22521005896354578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106115507) 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, 17484 + ... + 22757.

It is an arithmetic number, because the mean of its divisors is an integer number (12817077).

Almost surely, 2^106115517 is an apocalyptic number.

It is an amenable number.

106115517 is a deficient number, since it is larger than the sum of its proper divisors (47689407).

106115517 is a wasteful number, since it uses less digits than its factorization.

106115517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40540 (or 40537 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The square root of 106115517 is about 10301.2386148463. The cubic root of 106115517 is about 473.4342044603.

The spelling of 106115517 in words is "one hundred six million, one hundred fifteen thousand, five hundred seventeen".