100085259 has 32 divisors (see below), whose sum is σ = 144460800. Its totient is φ = 61471872.

The previous prime is 100085257. The next prime is 100085281. The reversal of 100085259 is 952580001.

It is not a de Polignac number, because 100085259 - 2¹ = 100085257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100085257) 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, 502842 + ... + 503040.

It is an arithmetic number, because the mean of its divisors is an integer number (4514400).

Almost surely, 2^100085259 is an apocalyptic number.

100085259 is a deficient number, since it is larger than the sum of its proper divisors (44375541).

100085259 is a wasteful number, since it uses less digits than its factorization.

100085259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459.

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 100085259 is about 10004.2620417500. The cubic root of 100085259 is about 464.2907582974.

The spelling of 100085259 in words is "one hundred million, eighty-five thousand, two hundred fifty-nine".