100233031985 has 16 divisors (see below), whose sum is σ = 127362457296. Its totient is φ = 75465105408.

The previous prime is 100233031973. The next prime is 100233031993. The reversal of 100233031985 is 589130332001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19490672881 + 80742359104 = 139609^2 + 284152^2 .

It is a cyclic number.

It is not a de Polignac number, because 100233031985 - 2¹⁴ = 100233015601 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2402927 + ... + 2444283.

It is an arithmetic number, because the mean of its divisors is an integer number (7960153581).

Almost surely, 2^100233031985 is an apocalyptic number.

It is an amenable number.

100233031985 is a deficient number, since it is larger than the sum of its proper divisors (27129425311).

100233031985 is a wasteful number, since it uses less digits than its factorization.

100233031985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69892.

The product of its (nonzero) digits is 19440, while the sum is 35.

Adding to 100233031985 its reverse (589130332001), we get a palindrome (689363363986).

The spelling of 100233031985 in words is "one hundred billion, two hundred thirty-three million, thirty-one thousand, nine hundred eighty-five".