105271167102 has 64 divisors (see below), whose sum is σ = 216290663424. Its totient is φ = 34141685760.

The previous prime is 105271167059. The next prime is 105271167107. The reversal of 105271167102 is 201761172501.

It is a super-2 number, since 2×105271167102² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 56203638 + ... + 56205510.

It is an arithmetic number, because the mean of its divisors is an integer number (3379541616).

Almost surely, 2^105271167102 is an apocalyptic number.

105271167102 is an abundant number, since it is smaller than the sum of its proper divisors (111019496322).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105271167102 is a wasteful number, since it uses less digits than its factorization.

105271167102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993.

The product of its (nonzero) digits is 5880, while the sum is 33.

The spelling of 105271167102 in words is "one hundred five billion, two hundred seventy-one million, one hundred sixty-seven thousand, one hundred two".