105733133622399 has 8 divisors (see below), whose sum is σ = 141142012680240. Its totient is φ = 70406505156416.

The previous prime is 105733133622353. The next prime is 105733133622409. The reversal of 105733133622399 is 993226331337501.

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

It is a cyclic number.

It is not a de Polignac number, because 105733133622399 - 2¹⁵ = 105733133589631 is a prime.

It is a super-2 number, since 2×105733133622399² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105733133622329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20562644964 + ... + 20562650105.

It is an arithmetic number, because the mean of its divisors is an integer number (17642751585030).

Almost surely, 2^{105733133622399} is an apocalyptic number.

105733133622399 is a deficient number, since it is larger than the sum of its proper divisors (35408879057841).

105733133622399 is an equidigital number, since it uses as much as digits as its factorization.

105733133622399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41125295929.

The product of its (nonzero) digits is 16533720, while the sum is 57.

The spelling of 105733133622399 in words is "one hundred five trillion, seven hundred thirty-three billion, one hundred thirty-three million, six hundred twenty-two thousand, three hundred ninety-nine".