106172415 has 24 divisors (see below), whose sum is σ = 184853760. Its totient is φ = 56372544.

The previous prime is 106172413. The next prime is 106172459. The reversal of 106172415 is 514271601.

It is a happy number.

106172415 is a `hidden beast` number, since 1 + 0 + 617 + 2 + 41 + 5 = 666.

It is a Cunningham number, because it is equal to 10304²-1.

It is not a de Polignac number, because 106172415 - 2¹ = 106172413 is a prime.

It is a super-2 number, since 2×106172415² = 22545163413864450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106172413) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5154 + ... + 15456.

It is an arithmetic number, because the mean of its divisors is an integer number (7702240).

Almost surely, 2^106172415 is an apocalyptic number.

106172415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106172415 is a deficient number, since it is larger than the sum of its proper divisors (78681345).

106172415 is a wasteful number, since it uses less digits than its factorization.

106172415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10543 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106172415 is about 10303.9999514752. Note that the first 4 decimals coincide. The cubic root of 106172415 is about 473.5188061190.

The spelling of 106172415 in words is "one hundred six million, one hundred seventy-two thousand, four hundred fifteen".