105296342953 has 16 divisors (see below), whose sum is σ = 112207248000. Its totient is φ = 98524812672.

The previous prime is 105296342939. The next prime is 105296342969. The reversal of 105296342953 is 359243692501.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105296342953 is a prime.

It is a super-2 number, since 2×105296342953² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105296342897 and 105296342906.

It is not an unprimeable number, because it can be changed into a prime (105296345953) 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 15 ways as a sum of consecutive naturals, for example, 1520151 + ... + 1587907.

It is an arithmetic number, because the mean of its divisors is an integer number (7012953000).

Almost surely, 2^105296342953 is an apocalyptic number.

It is an amenable number.

105296342953 is a deficient number, since it is larger than the sum of its proper divisors (6910905047).

105296342953 is an equidigital number, since it uses as much as digits as its factorization.

105296342953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68784.

The product of its (nonzero) digits is 1749600, while the sum is 49.

The spelling of 105296342953 in words is "one hundred five billion, two hundred ninety-six million, three hundred forty-two thousand, nine hundred fifty-three".