105991617 has 12 divisors (see below), whose sum is σ = 150125456. Its totient is φ = 66504000.

The previous prime is 105991591. The next prime is 105991619. The reversal of 105991617 is 716199501.

It is not a de Polignac number, because 105991617 - 2¹² = 105987521 is a prime.

It is a super-2 number, since 2×105991617² = 22468445748549378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105991619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60259 + ... + 61992.

Almost surely, 2^105991617 is an apocalyptic number.

105991617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105991617 is a deficient number, since it is larger than the sum of its proper divisors (44133839).

105991617 is a wasteful number, since it uses less digits than its factorization.

105991617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122288 (or 122271 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 39.

The square root of 105991617 is about 10295.2230184683. The cubic root of 105991617 is about 473.2498728180.

The spelling of 105991617 in words is "one hundred five million, nine hundred ninety-one thousand, six hundred seventeen".