105162223525271 has 16 divisors (see below), whose sum is σ = 114857588659968. Its totient is φ = 95489401502400.

The previous prime is 105162223525241. The next prime is 105162223525369. The reversal of 105162223525271 is 172525322261501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105162223525271 - 2¹⁰ = 105162223524247 is a prime.

It is a super-2 number, since 2×105162223525271² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105162223525241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133928891 + ... + 134711811.

It is an arithmetic number, because the mean of its divisors is an integer number (7178599291248).

Almost surely, 2^{105162223525271} is an apocalyptic number.

105162223525271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105162223525271 is a deficient number, since it is larger than the sum of its proper divisors (9695365134697).

105162223525271 is a wasteful number, since it uses less digits than its factorization.

105162223525271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797302.

The product of its (nonzero) digits is 504000, while the sum is 44.

Adding to 105162223525271 its reverse (172525322261501), we get a palindrome (277687545786772).

The spelling of 105162223525271 in words is "one hundred five trillion, one hundred sixty-two billion, two hundred twenty-three million, five hundred twenty-five thousand, two hundred seventy-one".