105042134253 has 16 divisors (see below), whose sum is σ = 160071349376. Its totient is φ = 60021397440.

The previous prime is 105042134227. The next prime is 105042134333. The reversal of 105042134253 is 352431240501.

It is not a de Polignac number, because 105042134253 - 2¹³ = 105042126061 is a prime.

It is a super-2 number, since 2×105042134253² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105042134253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105042134653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431475 + ... + 629487.

It is an arithmetic number, because the mean of its divisors is an integer number (10004459336).

Almost surely, 2^105042134253 is an apocalyptic number.

It is an amenable number.

105042134253 is a deficient number, since it is larger than the sum of its proper divisors (55029215123).

105042134253 is a wasteful number, since it uses less digits than its factorization.

105042134253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223284.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105042134253 its reverse (352431240501), we get a palindrome (457473374754).

The spelling of 105042134253 in words is "one hundred five billion, forty-two million, one hundred thirty-four thousand, two hundred fifty-three".