105219327437 has 12 divisors (see below), whose sum is σ = 124707392316. Its totient is φ = 88486332480.

The previous prime is 105219327373. The next prime is 105219327457. The reversal of 105219327437 is 734723912501.

It can be written as a sum of positive squares in 2 ways, for example, as 36044541316 + 69174786121 = 189854^2 + 263011^2 .

It is not a de Polignac number, because 105219327437 - 2⁶ = 105219327373 is a prime.

It is a super-2 number, since 2×105219327437² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105219327457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20255264 + ... + 20260457.

It is an arithmetic number, because the mean of its divisors is an integer number (10392282693).

Almost surely, 2^105219327437 is an apocalyptic number.

It is an amenable number.

105219327437 is a deficient number, since it is larger than the sum of its proper divisors (19488064879).

105219327437 is an equidigital number, since it uses as much as digits as its factorization.

105219327437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40515788 (or 40515781 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 105219327437 in words is "one hundred five billion, two hundred nineteen million, three hundred twenty-seven thousand, four hundred thirty-seven".