100078085 has 8 divisors (see below), whose sum is σ = 120900600. Its totient is φ = 79524544.

The previous prime is 100078067. The next prime is 100078103. The reversal of 100078085 is 580870001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100078067) and next prime (100078103).

It can be written as a sum of positive squares in 4 ways, for example, as 2819041 + 97259044 = 1679^2 + 9862^2 .

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 100078085 - 2⁶ = 100078021 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66422 + ... + 67911.

It is an arithmetic number, because the mean of its divisors is an integer number (15112575).

Almost surely, 2^100078085 is an apocalyptic number.

It is an amenable number.

100078085 is a deficient number, since it is larger than the sum of its proper divisors (20822515).

100078085 is a wasteful number, since it uses less digits than its factorization.

100078085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134487.

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 100078085 is about 10003.9034881390. The cubic root of 100078085 is about 464.2796647507.

The spelling of 100078085 in words is "one hundred million, seventy-eight thousand, eighty-five".