105601010167 has 2 divisors, whose sum is σ = 105601010168. Its totient is φ = 105601010166.

The previous prime is 105601010129. The next prime is 105601010287. The reversal of 105601010167 is 761010106501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105601010167 is a prime.

It is a super-2 number, since 2×105601010167² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105601017167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800505083 + 52800505084.

It is an arithmetic number, because the mean of its divisors is an integer number (52800505084).

Almost surely, 2^105601010167 is an apocalyptic number.

105601010167 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601010167 is an equidigital number, since it uses as much as digits as its factorization.

105601010167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

Adding to 105601010167 its reverse (761010106501), we get a palindrome (866611116668).

The spelling of 105601010167 in words is "one hundred five billion, six hundred one million, ten thousand, one hundred sixty-seven".