105702162071 has 32 divisors (see below), whose sum is σ = 122469580800. Its totient is φ = 90279398880.

The previous prime is 105702162061. The next prime is 105702162073. The reversal of 105702162071 is 170261207501.

It is not a de Polignac number, because 105702162071 - 2²⁶ = 105635053207 is a prime.

It is a super-2 number, since 2×105702162071² (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 (105702162073) 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, 23388350 + ... + 23392868.

It is an arithmetic number, because the mean of its divisors is an integer number (3827174400).

Almost surely, 2^105702162071 is an apocalyptic number.

105702162071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105702162071 is a deficient number, since it is larger than the sum of its proper divisors (16767418729).

105702162071 is a wasteful number, since it uses less digits than its factorization.

105702162071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179.

The product of its (nonzero) digits is 5880, while the sum is 32.

Adding to 105702162071 its reverse (170261207501), we get a palindrome (275963369572).

The spelling of 105702162071 in words is "one hundred five billion, seven hundred two million, one hundred sixty-two thousand, seventy-one".