100085046165 has 24 divisors (see below), whose sum is σ = 186825420600. Its totient is φ = 49272637824.

The previous prime is 100085046143. The next prime is 100085046199. The reversal of 100085046165 is 561640580001.

It can be written as a sum of positive squares in 4 ways, for example, as 682306641 + 99402739524 = 26121^2 + 315282^2 .

It is not a de Polignac number, because 100085046165 - 2⁹ = 100085045653 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85542190 + ... + 85543359.

It is an arithmetic number, because the mean of its divisors is an integer number (7784392525).

Almost surely, 2^100085046165 is an apocalyptic number.

100085046165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100085046165 is a deficient number, since it is larger than the sum of its proper divisors (86740374435).

100085046165 is a wasteful number, since it uses less digits than its factorization.

100085046165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171085573 (or 171085570 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 100085046165 in words is "one hundred billion, eighty-five million, forty-six thousand, one hundred sixty-five".