105726704331 has 8 divisors (see below), whose sum is σ = 140982408000. Its totient is φ = 70477735112.

The previous prime is 105726704273. The next prime is 105726704333. The reversal of 105726704331 is 133407627501.

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 105726704331 - 2¹⁵ = 105726671563 is a prime.

It is a super-3 number, since 3×105726704331³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105726704331.

It is not an unprimeable number, because it can be changed into a prime (105726704333) 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, 1646865 + ... + 1709858.

It is an arithmetic number, because the mean of its divisors is an integer number (17622801000).

Almost surely, 2^105726704331 is an apocalyptic number.

105726704331 is a deficient number, since it is larger than the sum of its proper divisors (35255703669).

105726704331 is a wasteful number, since it uses less digits than its factorization.

105726704331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367225.

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 105726704331 in words is "one hundred five billion, seven hundred twenty-six million, seven hundred four thousand, three hundred thirty-one".