105050617 has 16 divisors (see below), whose sum is σ = 121605120. Its totient is φ = 88892352.

The previous prime is 105050609. The next prime is 105050623. The reversal of 105050617 is 716050501.

It is a cyclic number.

It is not a de Polignac number, because 105050617 - 2³ = 105050609 is a prime.

It is a super-2 number, since 2×105050617² = 22071264264161378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105050591 and 105050600.

It is not an unprimeable number, because it can be changed into a prime (105050117) 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, 269859 + ... + 270247.

It is an arithmetic number, because the mean of its divisors is an integer number (7600320).

Almost surely, 2^105050617 is an apocalyptic number.

It is an amenable number.

105050617 is a deficient number, since it is larger than the sum of its proper divisors (16554503).

105050617 is a wasteful number, since it uses less digits than its factorization.

105050617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 105050617 is about 10249.4203250720. The cubic root of 105050617 is about 471.8451939538.

The spelling of 105050617 in words is "one hundred five million, fifty thousand, six hundred seventeen".