105072617 has 8 divisors (see below), whose sum is σ = 113260224. Its totient is φ = 96900048.

The previous prime is 105072613. The next prime is 105072619. The reversal of 105072617 is 716270501.

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

It is a cyclic number.

It is not a de Polignac number, because 105072617 - 2² = 105072613 is a prime.

It is a super-2 number, since 2×105072617² = 22080509686457378, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105072617.

It is not an unprimeable number, because it can be changed into a prime (105072613) 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, 13838 + ... + 20040.

It is an arithmetic number, because the mean of its divisors is an integer number (14157528).

Almost surely, 2^105072617 is an apocalyptic number.

It is an amenable number.

105072617 is a deficient number, since it is larger than the sum of its proper divisors (8187607).

105072617 is a wasteful number, since it uses less digits than its factorization.

105072617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7519.

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 105072617 is about 10250.4935003150. The cubic root of 105072617 is about 471.8781300437.

The spelling of 105072617 in words is "one hundred five million, seventy-two thousand, six hundred seventeen".