106865385 has 48 divisors (see below), whose sum is σ = 190192128. Its totient is φ = 51194880.

The previous prime is 106865371. The next prime is 106865411. The reversal of 106865385 is 583568601.

It is not a de Polignac number, because 106865385 - 2⁶ = 106865321 is a prime.

It is a super-2 number, since 2×106865385² = 22840421022396450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175752 + ... + 176358.

It is an arithmetic number, because the mean of its divisors is an integer number (3962336).

Almost surely, 2^106865385 is an apocalyptic number.

106865385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106865385 is a deficient number, since it is larger than the sum of its proper divisors (83326743).

106865385 is a wasteful number, since it uses less digits than its factorization.

106865385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 106865385 is about 10337.5715233318. The cubic root of 106865385 is about 474.5467661952.

The spelling of 106865385 in words is "one hundred six million, eight hundred sixty-five thousand, three hundred eighty-five".