105172617 has 16 divisors (see below), whose sum is σ = 155867328. Its totient is φ = 62537280.

The previous prime is 105172607. The next prime is 105172631. The reversal of 105172617 is 716271501.

It is a de Polignac number, because none of the positive numbers 2^k-105172617 is a prime.

It is a super-2 number, since 2×105172617² = 22122558733257378, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105172607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28318 + ... + 31815.

It is an arithmetic number, because the mean of its divisors is an integer number (9741708).

Almost surely, 2^105172617 is an apocalyptic number.

It is an amenable number.

105172617 is a deficient number, since it is larger than the sum of its proper divisors (50694711).

105172617 is a wasteful number, since it uses less digits than its factorization.

105172617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60200.

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 105172617 is about 10255.3701542168. The cubic root of 105172617 is about 472.0277816287.

The spelling of 105172617 in words is "one hundred five million, one hundred seventy-two thousand, six hundred seventeen".