10106085 has 32 divisors (see below), whose sum is σ = 18413568. Its totient is φ = 4685120.

The previous prime is 10106077. The next prime is 10106087. The reversal of 10106085 is 58060101.

10106085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10106085 - 2³ = 10106077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2464 + ... + 5126.

It is an arithmetic number, because the mean of its divisors is an integer number (575424).

Almost surely, 2^10106085 is an apocalyptic number.

10106085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10106085 is a deficient number, since it is larger than the sum of its proper divisors (8307483).

10106085 is a wasteful number, since it uses less digits than its factorization.

10106085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 10106085 is about 3179.0069204077. The cubic root of 10106085 is about 216.2026347754.

Adding to 10106085 its reverse (58060101), we get a palindrome (68166186).

The spelling of 10106085 in words is "ten million, one hundred six thousand, eighty-five".