105293111121 has 27 divisors (see below), whose sum is σ = 167190363067. Its totient is φ = 63807516960.

The previous prime is 105293111113. The next prime is 105293111159. The reversal of 105293111121 is 121111392501.

It is a happy number.

The square root of 105293111121 is 324489.

It is a perfect power (a square), and thus also a powerful number.

105293111121 is a `hidden beast` number, since 1 + 0 + 529 + 3 + 1 + 11 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54819198225 + 50473912896 = 234135^2 + 224664^2 .

It is not a de Polignac number, because 105293111121 - 2³ = 105293111113 is a prime.

It is a super-2 number, since 2×105293111121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105293111111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10703221 + ... + 10713053.

Almost surely, 2^105293111121 is an apocalyptic number.

105293111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105293111121 is the 324489-th square number.

105293111121 is the 162245-th centered octagonal number.

It is an amenable number.

105293111121 is a deficient number, since it is larger than the sum of its proper divisors (61897251946).

105293111121 is an frugal number, since it uses more digits than its factorization.

105293111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19694 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

The spelling of 105293111121 in words is "one hundred five billion, two hundred ninety-three million, one hundred eleven thousand, one hundred twenty-one".