105994522624 has 39 divisors (see below), whose sum is σ = 212004843487. Its totient is φ = 52986843136.

The previous prime is 105994522597. The next prime is 105994522637. The reversal of 105994522624 is 426225499501.

It is a happy number.

The square root of 105994522624 is 325568.

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

It is a super-2 number, since 2×105994522624² (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 (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 20833809 + ... + 20838895.

Almost surely, 2^105994522624 is an apocalyptic number.

105994522624 is the 325568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105994522624

105994522624 is an abundant number, since it is smaller than the sum of its proper divisors (106010320863).

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

105994522624 is an frugal number, since it uses more digits than its factorization.

105994522624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 105994522624 by its sum of digits (49), we get a square (5193731608576 = 2278976²).

The spelling of 105994522624 in words is "one hundred five billion, nine hundred ninety-four million, five hundred twenty-two thousand, six hundred twenty-four".