106519985 has 32 divisors (see below), whose sum is σ = 158094720. Its totient is φ = 67737600.

The previous prime is 106519979. The next prime is 106519991. The reversal of 106519985 is 589915601.

It is an interprime number because it is at equal distance from previous prime (106519979) and next prime (106519991).

It is not a de Polignac number, because 106519985 - 2¹⁰ = 106518961 is a prime.

It is a super-2 number, since 2×106519985² = 22693014408800450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9665 + ... + 17505.

It is an arithmetic number, because the mean of its divisors is an integer number (4940460).

Almost surely, 2^106519985 is an apocalyptic number.

It is an amenable number.

106519985 is a deficient number, since it is larger than the sum of its proper divisors (51574735).

106519985 is a wasteful number, since it uses less digits than its factorization.

106519985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7889.

The product of its (nonzero) digits is 97200, while the sum is 44.

The square root of 106519985 is about 10320.8519512684. The cubic root of 106519985 is about 474.0349529436.

The spelling of 106519985 in words is "one hundred six million, five hundred nineteen thousand, nine hundred eighty-five".