105253747823 has 8 divisors (see below), whose sum is σ = 120305797248. Its totient is φ = 90205648344.

The previous prime is 105253747813. The next prime is 105253747831. The reversal of 105253747823 is 328747352501.

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

It is not a de Polignac number, because 105253747823 - 2²⁶ = 105186638959 is a prime.

It is a super-2 number, since 2×105253747823² (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 (105253747813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 930161 + ... + 1037162.

It is an arithmetic number, because the mean of its divisors is an integer number (15038224656).

Almost surely, 2^105253747823 is an apocalyptic number.

105253747823 is a deficient number, since it is larger than the sum of its proper divisors (15052049425).

105253747823 is an equidigital number, since it uses as much as digits as its factorization.

105253747823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974973.

The product of its (nonzero) digits is 1411200, while the sum is 47.

The spelling of 105253747823 in words is "one hundred five billion, two hundred fifty-three million, seven hundred forty-seven thousand, eight hundred twenty-three".