105006715968 has 224 divisors, whose sum is σ = 347277708288. Its totient is φ = 27204249600.

The previous prime is 105006715967. The next prime is 105006716011. The reversal of 105006715968 is 869517600501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105006715968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (105006715967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5860303 + ... + 5878193.

It is an arithmetic number, because the mean of its divisors is an integer number (1550346912).

Almost surely, 2^105006715968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105006715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173638854144).

105006715968 is an abundant number, since it is smaller than the sum of its proper divisors (242270992320).

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

105006715968 is a wasteful number, since it uses less digits than its factorization.

105006715968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18321 (or 18311 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 105006715968 in words is "one hundred five billion, six million, seven hundred fifteen thousand, nine hundred sixty-eight".