105167217217061 has 4 divisors (see below), whose sum is σ = 105168203540652. Its totient is φ = 105166230893472.

The previous prime is 105167217217033. The next prime is 105167217217109. The reversal of 105167217217061 is 160712712761501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 100318633414561 + 4848583802500 = 10015919^2 + 2201950^2 .

It is a cyclic number.

It is not a de Polignac number, because 105167217217061 - 2¹⁴ = 105167217200677 is a prime.

It is a super-2 number, since 2×105167217217061² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105167217216997 and 105167217217015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105167217214061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 493001840 + ... + 493215113.

It is an arithmetic number, because the mean of its divisors is an integer number (26292050885163).

Almost surely, 2^{105167217217061} is an apocalyptic number.

It is an amenable number.

105167217217061 is a deficient number, since it is larger than the sum of its proper divisors (986323591).

105167217217061 is an equidigital number, since it uses as much as digits as its factorization.

105167217217061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986323590.

The product of its (nonzero) digits is 246960, while the sum is 47.

Adding to 105167217217061 its reverse (160712712761501), we get a palindrome (265879929978562).

The spelling of 105167217217061 in words is "one hundred five trillion, one hundred sixty-seven billion, two hundred seventeen million, two hundred seventeen thousand, sixty-one".