103424765985 has 12 divisors (see below), whose sum is σ = 179269594452. Its totient is φ = 55159875168.

The previous prime is 103424765981. The next prime is 103424765993. The reversal of 103424765985 is 589567424301.

It is a happy number.

103424765985 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 47 + 6 + 598 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40530145041 + 62894620944 = 201321^2 + 250788^2 .

It is not a de Polignac number, because 103424765985 - 2² = 103424765981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103424765981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1149164022 + ... + 1149164111.

It is an arithmetic number, because the mean of its divisors is an integer number (14939132871).

It is a 2-persistent number, because it is pandigital, and so is 2⋅103424765985 = 206849531970, but 3⋅103424765985 = 310274297955 is not.

Almost surely, 2^103424765985 is an apocalyptic number.

103424765985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103424765985 is a deficient number, since it is larger than the sum of its proper divisors (75844828467).

103424765985 is a wasteful number, since it uses less digits than its factorization.

103424765985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298328144 (or 2298328141 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 103424765985 in words is "one hundred three billion, four hundred twenty-four million, seven hundred sixty-five thousand, nine hundred eighty-five".