103065136405704 has 72 divisors (see below), whose sum is σ = 306817529029830. Its totient is φ = 31231859514240.

The previous prime is 103065136405687. The next prime is 103065136405717. The reversal of 103065136405704 is 407504631560301.

103065136405704 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 6 + 5 + 1 + 36 + 40 + 570 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85069299783204 + 17995836622500 = 9223302^2 + 4242150^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 103065136405704.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5915116197 + ... + 5915133620.

Almost surely, 2^{103065136405704} is an apocalyptic number.

It is an amenable number.

103065136405704 is an abundant number, since it is smaller than the sum of its proper divisors (203752392624126).

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

103065136405704 is a wasteful number, since it uses less digits than its factorization.

103065136405704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11830249851 (or 11830249833 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 103065136405704 in words is "one hundred three trillion, sixty-five billion, one hundred thirty-six million, four hundred five thousand, seven hundred four".