105242053553 has 16 divisors (see below), whose sum is σ = 129537359616. Its totient is φ = 83262859200.

The previous prime is 105242053529. The next prime is 105242053559. The reversal of 105242053553 is 355350242501.

It is a cyclic number.

It is not a de Polignac number, because 105242053553 - 2⁸ = 105242053297 is a prime.

It is a super-2 number, since 2×105242053553² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105242053559) 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, 1808003 + ... + 1865303.

It is an arithmetic number, because the mean of its divisors is an integer number (8096084976).

Almost surely, 2^105242053553 is an apocalyptic number.

105242053553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105242053553 is a deficient number, since it is larger than the sum of its proper divisors (24295306063).

105242053553 is a wasteful number, since it uses less digits than its factorization.

105242053553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77504.

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 105242053553 in words is "one hundred five billion, two hundred forty-two million, fifty-three thousand, five hundred fifty-three".