105122153253 has 8 divisors (see below), whose sum is σ = 150944630368. Its totient is φ = 64690555824.

The previous prime is 105122153203. The next prime is 105122153327. The reversal of 105122153253 is 352351221501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105122153253 - 2⁶ = 105122153189 is a prime.

It is a super-2 number, since 2×105122153253² (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 105122153253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105122153203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1347719875 + ... + 1347719952.

It is an arithmetic number, because the mean of its divisors is an integer number (18868078796).

Almost surely, 2^105122153253 is an apocalyptic number.

105122153253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105122153253 is a deficient number, since it is larger than the sum of its proper divisors (45822477115).

105122153253 is a wasteful number, since it uses less digits than its factorization.

105122153253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695439843.

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 105122153253 its reverse (352351221501), we get a palindrome (457473374754).

The spelling of 105122153253 in words is "one hundred five billion, one hundred twenty-two million, one hundred fifty-three thousand, two hundred fifty-three".