103057585345 has 16 divisors (see below), whose sum is σ = 145289575872. Its totient is φ = 69185511360.

The previous prime is 103057585339. The next prime is 103057585373. The reversal of 103057585345 is 543585750301.

It is not a de Polignac number, because 103057585345 - 2²⁹ = 102520714433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103057585295 and 103057585304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72067527 + ... + 72068956.

It is an arithmetic number, because the mean of its divisors is an integer number (9080598492).

Almost surely, 2^103057585345 is an apocalyptic number.

It is an amenable number.

103057585345 is a deficient number, since it is larger than the sum of its proper divisors (42231990527).

103057585345 is a wasteful number, since it uses less digits than its factorization.

103057585345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144136512.

The product of its (nonzero) digits is 1260000, while the sum is 46.

The spelling of 103057585345 in words is "one hundred three billion, fifty-seven million, five hundred eighty-five thousand, three hundred forty-five".