105271167101 has 4 divisors (see below), whose sum is σ = 106603713600. Its totient is φ = 103938620604.

The previous prime is 105271167059. The next prime is 105271167107. The reversal of 105271167101 is 101761172501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 101761172501 = 61297 ⋅1660133.

It is a cyclic number.

It is not a de Polignac number, because 105271167101 - 2⁶ = 105271167037 is a prime.

It is a super-2 number, since 2×105271167101² (a number of 23 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 (105271167107) 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, 666273131 + ... + 666273288.

It is an arithmetic number, because the mean of its divisors is an integer number (26650928400).

Almost surely, 2^105271167101 is an apocalyptic number.

It is an amenable number.

105271167101 is a deficient number, since it is larger than the sum of its proper divisors (1332546499).

105271167101 is an equidigital number, since it uses as much as digits as its factorization.

105271167101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332546498.

The product of its (nonzero) digits is 2940, while the sum is 32.

The spelling of 105271167101 in words is "one hundred five billion, two hundred seventy-one million, one hundred sixty-seven thousand, one hundred one".