105905986624 has 63 divisors (see below), whose sum is σ = 221903894901. Its totient is φ = 50142562560.

The previous prime is 105905986591. The next prime is 105905986633. The reversal of 105905986624 is 426689509501.

The square root of 105905986624 is 325432.

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., 101017180224 + 4888806400 = 317832^2 + 69920^2 .

It is a super-2 number, since 2×105905986624² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49464594 + ... + 49466734.

Almost surely, 2^105905986624 is an apocalyptic number.

105905986624 is the 325432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105905986624

105905986624 is an abundant number, since it is smaller than the sum of its proper divisors (115997908277).

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

105905986624 is an frugal number, since it uses more digits than its factorization.

105905986624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 105905986624 in words is "one hundred five billion, nine hundred five million, nine hundred eighty-six thousand, six hundred twenty-four".