106912575 has 192 divisors, whose sum is σ = 261411840. Its totient is φ = 41817600.

The previous prime is 106912513. The next prime is 106912613. The reversal of 106912575 is 575219601.

106912575 is a `hidden beast` number, since 10 + 69 + 12 + 575 = 666.

It is not a de Polignac number, because 106912575 - 2¹⁰ = 106911551 is a prime.

It is a super-2 number, since 2×106912575² = 22860597386261250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6288967 + ... + 6288983.

It is an arithmetic number, because the mean of its divisors is an integer number (1361520).

Almost surely, 2^106912575 is an apocalyptic number.

106912575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106912575 is an abundant number, since it is smaller than the sum of its proper divisors (154499265).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106912575 is a wasteful number, since it uses less digits than its factorization.

106912575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 106912575 is about 10339.8537223696. The cubic root of 106912575 is about 474.6166066037.

The spelling of 106912575 in words is "one hundred six million, nine hundred twelve thousand, five hundred seventy-five".