105214253296 has 40 divisors (see below), whose sum is σ = 212783238144. Its totient is φ = 50303901120.

The previous prime is 105214253237. The next prime is 105214253297. The reversal of 105214253296 is 692352412501.

It is a super-2 number, since 2×105214253296² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105214253297) 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, 1160025 + ... + 1247431.

Almost surely, 2^105214253296 is an apocalyptic number.

105214253296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105214253296 is an abundant number, since it is smaller than the sum of its proper divisors (107568984848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105214253296 is a wasteful number, since it uses less digits than its factorization.

105214253296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90709 (or 90703 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

Adding to 105214253296 its reverse (692352412501), we get a palindrome (797566665797).

The spelling of 105214253296 in words is "one hundred five billion, two hundred fourteen million, two hundred fifty-three thousand, two hundred ninety-six".