103057585353 has 6 divisors (see below), whose sum is σ = 148860956634. Its totient is φ = 68705056896.

The previous prime is 103057585339. The next prime is 103057585373. The reversal of 103057585353 is 353585750301.

103057585353 is a `hidden beast` number, since 1 + 0 + 30 + 5 + 7 + 585 + 35 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70154527689 + 32903057664 = 264867^2 + 181392^2 .

It is not a de Polignac number, because 103057585353 - 2²⁰ = 103056536777 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103057585299 and 103057585308.

It is not an unprimeable number, because it can be changed into a prime (103057585373) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5725421400 + ... + 5725421417.

It is an arithmetic number, because the mean of its divisors is an integer number (24810159439).

Almost surely, 2^103057585353 is an apocalyptic number.

It is an amenable number.

103057585353 is a deficient number, since it is larger than the sum of its proper divisors (45803371281).

103057585353 is a wasteful number, since it uses less digits than its factorization.

103057585353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11450842823 (or 11450842820 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 103057585353 in words is "one hundred three billion, fifty-seven million, five hundred eighty-five thousand, three hundred fifty-three".