105575001121 has 2 divisors, whose sum is σ = 105575001122. Its totient is φ = 105575001120.

The previous prime is 105575001089. The next prime is 105575001139. The reversal of 105575001121 is 121100575501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68271941521 + 37303059600 = 261289^2 + 193140^2 .

It is a cyclic number.

It is not a de Polignac number, because 105575001121 - 2⁵ = 105575001089 is a prime.

It is a super-2 number, since 2×105575001121² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105575001121.

It is not a weakly prime, because it can be changed into another prime (105575001821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52787500560 + 52787500561.

It is an arithmetic number, because the mean of its divisors is an integer number (52787500561).

Almost surely, 2^105575001121 is an apocalyptic number.

It is an amenable number.

105575001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105575001121 is an equidigital number, since it uses as much as digits as its factorization.

105575001121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1750, while the sum is 28.

Adding to 105575001121 its reverse (121100575501), we get a palindrome (226675576622).

The spelling of 105575001121 in words is "one hundred five billion, five hundred seventy-five million, one thousand, one hundred twenty-one".