105619800064 has 45 divisors (see below), whose sum is σ = 211316381787. Its totient is φ = 52789100544.

The previous prime is 105619800053. The next prime is 105619800107. The reversal of 105619800064 is 460008916501.

The square root of 105619800064 is 324992.

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

It is a super-2 number, since 2×105619800064² (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 2 ways as a sum of consecutive naturals, for example, 41597707 + ... + 41600245.

Almost surely, 2^105619800064 is an apocalyptic number.

105619800064 is the 324992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105619800064

105619800064 is an abundant number, since it is smaller than the sum of its proper divisors (105696581723).

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

105619800064 is an frugal number, since it uses more digits than its factorization.

105619800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 105619800064 in words is "one hundred five billion, six hundred nineteen million, eight hundred thousand, sixty-four".