105329321731 has 8 divisors (see below), whose sum is σ = 105830323200. Its totient is φ = 104828576712.

The previous prime is 105329321717. The next prime is 105329321761. The reversal of 105329321731 is 137123923501.

It is a happy number.

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 105329321731 - 2³³ = 96739387139 is a prime.

It is a super-2 number, since 2×105329321731² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105329321761) 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 7 ways as a sum of consecutive naturals, for example, 785970 + ... + 910168.

It is an arithmetic number, because the mean of its divisors is an integer number (13228790400).

Almost surely, 2^105329321731 is an apocalyptic number.

105329321731 is a deficient number, since it is larger than the sum of its proper divisors (501001469).

105329321731 is a wasteful number, since it uses less digits than its factorization.

105329321731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128225.

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 105329321731 in words is "one hundred five billion, three hundred twenty-nine million, three hundred twenty-one thousand, seven hundred thirty-one".