85900105 has 8 divisors (see below), whose sum is σ = 103134600. Its totient is φ = 68683776.

The previous prime is 85900093. The next prime is 85900109. The reversal of 85900105 is 50100958.

It can be written as a sum of positive squares in 4 ways, for example, as 9634816 + 76265289 = 3104^2 + 8733^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85900105 - 2¹⁵ = 85867337 is a prime.

It is a super-2 number, since 2×85900105² = 14757656078022050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85900109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10251 + ... + 16639.

It is an arithmetic number, because the mean of its divisors is an integer number (12891825).

Almost surely, 2^85900105 is an apocalyptic number.

It is an amenable number.

85900105 is a deficient number, since it is larger than the sum of its proper divisors (17234495).

85900105 is a wasteful number, since it uses less digits than its factorization.

85900105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9083.

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 85900105 is about 9268.2309530999. The cubic root of 85900105 is about 441.2295242045.

The spelling of 85900105 in words is "eighty-five million, nine hundred thousand, one hundred five".