100085284 has 24 divisors (see below), whose sum is σ = 189294840. Its totient is φ = 46028544.

The previous prime is 100085281. The next prime is 100085287. The reversal of 100085284 is 482580001.

It is an interprime number because it is at equal distance from previous prime (100085281) and next prime (100085287).

It can be written as a sum of positive squares in 4 ways, for example, as 41990400 + 58094884 = 6480^2 + 7622^2 .

It is not an unprimeable number, because it can be changed into a prime (100085281) 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, 11952 + ... + 18520.

It is an arithmetic number, because the mean of its divisors is an integer number (7887285).

Almost surely, 2^100085284 is an apocalyptic number.

It is an amenable number.

100085284 is a deficient number, since it is larger than the sum of its proper divisors (89209556).

100085284 is a wasteful number, since it uses less digits than its factorization.

100085284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 100085284 is about 10004.2632912174. The cubic root of 100085284 is about 464.2907969553.

The spelling of 100085284 in words is "one hundred million, eighty-five thousand, two hundred eighty-four".