105144115564801 has 4 divisors (see below), whose sum is σ = 105149712225712. Its totient is φ = 105138518903892.

The previous prime is 105144115564769. The next prime is 105144115564823. The reversal of 105144115564801 is 108465511441501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105144115564801 - 2⁵ = 105144115564769 is a prime.

It is a super-2 number, since 2×105144115564801² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105144118564801) 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 3 ways as a sum of consecutive naturals, for example, 2798302275 + ... + 2798339848.

It is an arithmetic number, because the mean of its divisors is an integer number (26287428056428).

Almost surely, 2^{105144115564801} is an apocalyptic number.

It is an amenable number.

105144115564801 is a deficient number, since it is larger than the sum of its proper divisors (5596660911).

105144115564801 is an equidigital number, since it uses as much as digits as its factorization.

105144115564801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596660910.

The product of its (nonzero) digits is 384000, while the sum is 46.

The spelling of 105144115564801 in words is "one hundred five trillion, one hundred forty-four billion, one hundred fifteen million, five hundred sixty-four thousand, eight hundred one".