105344386624 has 63 divisors (see below), whose sum is σ = 216654566817. Its totient is φ = 50819559168.

The previous prime is 105344386607. The next prime is 105344386633. The reversal of 105344386624 is 426683443501.

The square root of 105344386624 is 324568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 55240041024 + 50104345600 = 235032^2 + 223840^2 .

It is a super-2 number, since 2×105344386624² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75299077 + ... + 75300475.

Almost surely, 2^105344386624 is an apocalyptic number.

105344386624 is the 324568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105344386624

105344386624 is an abundant number, since it is smaller than the sum of its proper divisors (111310180193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105344386624 is an frugal number, since it uses more digits than its factorization.

105344386624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 105344386624 in words is "one hundred five billion, three hundred forty-four million, three hundred eighty-six thousand, six hundred twenty-four".