10905342617 has 32 divisors (see below), whose sum is σ = 12195587712. Its totient is φ = 9687734784.

The previous prime is 10905342611. The next prime is 10905342629. The reversal of 10905342617 is 71624350901.

It is not a de Polignac number, because 10905342617 - 2¹⁶ = 10905277081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10905342611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12023078 + ... + 12023984.

It is an arithmetic number, because the mean of its divisors is an integer number (381112116).

Almost surely, 2^10905342617 is an apocalyptic number.

It is an amenable number.

10905342617 is a deficient number, since it is larger than the sum of its proper divisors (1290245095).

10905342617 is a wasteful number, since it uses less digits than its factorization.

10905342617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257.

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 10905342617 in words is "ten billion, nine hundred five million, three hundred forty-two thousand, six hundred seventeen".