105270105057 has 32 divisors (see below), whose sum is σ = 160083221760. Its totient is φ = 60957757440.

The previous prime is 105270105037. The next prime is 105270105079. The reversal of 105270105057 is 750501072501.

It is a de Polignac number, because none of the positive numbers 2^k-105270105057 is a prime.

It is a super-2 number, since 2×105270105057² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105270105037) 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, 3646044 + ... + 3674802.

It is an arithmetic number, because the mean of its divisors is an integer number (5002600680).

Almost surely, 2^105270105057 is an apocalyptic number.

105270105057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105270105057 is a deficient number, since it is larger than the sum of its proper divisors (54813116703).

105270105057 is a wasteful number, since it uses less digits than its factorization.

105270105057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34313.

The product of its (nonzero) digits is 12250, while the sum is 33.

Adding to 105270105057 its reverse (750501072501), we get a palindrome (855771177558).

The spelling of 105270105057 in words is "one hundred five billion, two hundred seventy million, one hundred five thousand, fifty-seven".