105727140417 has 16 divisors (see below), whose sum is σ = 141560153280. Its totient is φ = 70189560000.

The previous prime is 105727140371. The next prime is 105727140451. The reversal of 105727140417 is 714041727501.

It is not a de Polignac number, because 105727140417 - 2¹⁵ = 105727107649 is a prime.

It is a super-2 number, since 2×105727140417² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105727140457) 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, 4679167 + ... + 4701707.

It is an arithmetic number, because the mean of its divisors is an integer number (8847509580).

Almost surely, 2^105727140417 is an apocalyptic number.

It is an amenable number.

105727140417 is a deficient number, since it is larger than the sum of its proper divisors (35833012863).

105727140417 is a wasteful number, since it uses less digits than its factorization.

105727140417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29024.

The product of its (nonzero) digits is 54880, while the sum is 39.

Adding to 105727140417 its reverse (714041727501), we get a palindrome (819768867918).

The spelling of 105727140417 in words is "one hundred five billion, seven hundred twenty-seven million, one hundred forty thousand, four hundred seventeen".