102806085 has 16 divisors (see below), whose sum is σ = 165582720. Its totient is φ = 54465600.

The previous prime is 102806069. The next prime is 102806101. The reversal of 102806085 is 580608201.

It is an interprime number because it is at equal distance from previous prime (102806069) and next prime (102806101).

It is not a de Polignac number, because 102806085 - 2⁴ = 102806069 is a prime.

It is a super-2 number, since 2×102806085² = 21138182226054450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20430 + ... + 24959.

It is an arithmetic number, because the mean of its divisors is an integer number (10348920).

Almost surely, 2^102806085 is an apocalyptic number.

102806085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102806085 is a deficient number, since it is larger than the sum of its proper divisors (62776635).

102806085 is a wasteful number, since it uses less digits than its factorization.

102806085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45548.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 102806085 is about 10139.3335579810. Note that the first 3 decimals coincide. The cubic root of 102806085 is about 468.4604597697.

The spelling of 102806085 in words is "one hundred two million, eight hundred six thousand, eighty-five".