105864335424 has 105 divisors (see below), whose sum is σ = 313884513327. Its totient is φ = 35280302976.

The previous prime is 105864335417. The next prime is 105864335429. The reversal of 105864335424 is 424533468501.

The square root of 105864335424 is 325368.

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

105864335424 is a `hidden beast` number, since 1 + 0 + 586 + 43 + 3 + 5 + 4 + 24 = 666.

It is a super-2 number, since 2×105864335424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105864335424.

It is not an unprimeable number, because it can be changed into a prime (105864335429) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23424237 + ... + 23428755.

Almost surely, 2^105864335424 is an apocalyptic number.

105864335424 is the 325368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105864335424

105864335424 is an abundant number, since it is smaller than the sum of its proper divisors (208020177903).

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

105864335424 is an frugal number, since it uses more digits than its factorization.

105864335424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9062 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 105864335424 in words is "one hundred five billion, eight hundred sixty-four million, three hundred thirty-five thousand, four hundred twenty-four".