103585476657 has 8 divisors (see below), whose sum is σ = 148738120384. Its totient is φ = 63744908688.

The previous prime is 103585476647. The next prime is 103585476691. The reversal of 103585476657 is 756674585301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 103585476657 - 2²⁰ = 103584428081 is a prime.

It is a super-3 number, since 3×103585476657³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103585476597 and 103585476606.

It is not an unprimeable number, because it can be changed into a prime (103585476637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1328018893 + ... + 1328018970.

It is an arithmetic number, because the mean of its divisors is an integer number (18592265048).

Almost surely, 2^103585476657 is an apocalyptic number.

It is an amenable number.

103585476657 is a deficient number, since it is larger than the sum of its proper divisors (45152643727).

103585476657 is a wasteful number, since it uses less digits than its factorization.

103585476657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656037879.

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 103585476657 in words is "one hundred three billion, five hundred eighty-five million, four hundred seventy-six thousand, six hundred fifty-seven".