103085681958 has 96 divisors (see below), whose sum is σ = 256091037696. Its totient is φ = 29357342784.

The previous prime is 103085681957. The next prime is 103085681977. The reversal of 103085681958 is 859186580301.

103085681958 is a `hidden beast` number, since 10 + 3 + 0 + 8 + 568 + 19 + 58 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103085681957) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 94834491 + ... + 94835577.

It is an arithmetic number, because the mean of its divisors is an integer number (2667614976).

Almost surely, 2^103085681958 is an apocalyptic number.

103085681958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

103085681958 is an abundant number, since it is smaller than the sum of its proper divisors (153005355738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103085681958 is a wasteful number, since it uses less digits than its factorization.

103085681958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 103085681958 in words is "one hundred three billion, eighty-five million, six hundred eighty-one thousand, nine hundred fifty-eight".