105071221515607 has 16 divisors (see below), whose sum is σ = 105809728883040. Its totient is φ = 104334500708352.

The previous prime is 105071221515599. The next prime is 105071221515677. The reversal of 105071221515607 is 706515122170501.

It is a cyclic number.

It is not a de Polignac number, because 105071221515607 - 2³ = 105071221515599 is a prime.

It is a super-2 number, since 2×105071221515607² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105071221515677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366606453 + ... + 366892945.

It is an arithmetic number, because the mean of its divisors is an integer number (6613108055190).

Almost surely, 2^{105071221515607} is an apocalyptic number.

105071221515607 is a deficient number, since it is larger than the sum of its proper divisors (738507367433).

105071221515607 is a wasteful number, since it uses less digits than its factorization.

105071221515607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289602.

The product of its (nonzero) digits is 147000, while the sum is 43.

The spelling of 105071221515607 in words is "one hundred five trillion, seventy-one billion, two hundred twenty-one million, five hundred fifteen thousand, six hundred seven".