100085792 has 12 divisors (see below), whose sum is σ = 197043966. Its totient is φ = 50042880.

The previous prime is 100085759. The next prime is 100085801. The reversal of 100085792 is 297580001.

It can be written as a sum of positive squares in only one way, i.e., 100080016 + 5776 = 10004^2 + 76^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 3127681 = 100085792 / (1 + 0 + 0 + 0 + 8 + 5 + 7 + 9 + 2).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1563809 + ... + 1563872.

Almost surely, 2^100085792 is an apocalyptic number.

It is an amenable number.

100085792 is a deficient number, since it is larger than the sum of its proper divisors (96958174).

100085792 is an equidigital number, since it uses as much as digits as its factorization.

100085792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127691 (or 3127683 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 100085792 is about 10004.2886803610. The cubic root of 100085792 is about 464.2915824832.

The spelling of 100085792 in words is "one hundred million, eighty-five thousand, seven hundred ninety-two".