100085268 has 24 divisors (see below), whose sum is σ = 233724960. Its totient is φ = 33334240.

The previous prime is 100085257. The next prime is 100085281. The reversal of 100085268 is 862580001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16198 + ... + 21506.

It is an arithmetic number, because the mean of its divisors is an integer number (9738540).

Almost surely, 2^100085268 is an apocalyptic number.

It is an amenable number.

100085268 is an abundant number, since it is smaller than the sum of its proper divisors (133639692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100085268 is a wasteful number, since it uses less digits than its factorization.

100085268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6885 counting only the distinct ones).

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

The square root of 100085268 is about 10004.2624915583. The cubic root of 100085268 is about 464.2907722143.

It can be divided in two parts, 1000 and 85268, that added together give a palindrome (86268).

The spelling of 100085268 in words is "one hundred million, eighty-five thousand, two hundred sixty-eight".