106305875 has 16 divisors (see below), whose sum is σ = 142877280. Its totient is φ = 78501600.

The previous prime is 106305853. The next prime is 106305877. The reversal of 106305875 is 578503601.

It is not a de Polignac number, because 106305875 - 2¹⁶ = 106240339 is a prime.

It is a super-2 number, since 2×106305875² = 22601878119031250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106305877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31085 + ... + 34334.

It is an arithmetic number, because the mean of its divisors is an integer number (8929830).

Almost surely, 2^106305875 is an apocalyptic number.

106305875 is a deficient number, since it is larger than the sum of its proper divisors (36571405).

106305875 is an equidigital number, since it uses as much as digits as its factorization.

106305875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65447 (or 65437 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 106305875 is about 10310.4740434182. The cubic root of 106305875 is about 473.7171293183.

The spelling of 106305875 in words is "one hundred six million, three hundred five thousand, eight hundred seventy-five".