105601206217 has 16 divisors (see below), whose sum is σ = 116120729088. Its totient is φ = 95431976640.

The previous prime is 105601206211. The next prime is 105601206241. The reversal of 105601206217 is 712602106501.

It is not a de Polignac number, because 105601206217 - 2²³ = 105592817609 is a prime.

It is a super-2 number, since 2×105601206217² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105601206211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153492 + ... + 484522.

It is an arithmetic number, because the mean of its divisors is an integer number (7257545568).

Almost surely, 2^105601206217 is an apocalyptic number.

It is an amenable number.

105601206217 is a deficient number, since it is larger than the sum of its proper divisors (10519522871).

105601206217 is a wasteful number, since it uses less digits than its factorization.

105601206217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331560.

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 105601206217 in words is "one hundred five billion, six hundred one million, two hundred six thousand, two hundred seventeen".