105702050216 has 64 divisors (see below), whose sum is σ = 234458419200. Its totient is φ = 43729362432.

The previous prime is 105702050189. The next prime is 105702050221. The reversal of 105702050216 is 612050207501.

It is a super-2 number, since 2×105702050216² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62300 + ... + 463988.

It is an arithmetic number, because the mean of its divisors is an integer number (3663412800).

Almost surely, 2^105702050216 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 105702050216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117229209600).

105702050216 is an abundant number, since it is smaller than the sum of its proper divisors (128756368984).

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

105702050216 is a wasteful number, since it uses less digits than its factorization.

105702050216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401866 (or 401862 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

Adding to 105702050216 its reverse (612050207501), we get a palindrome (717752257717).

The spelling of 105702050216 in words is "one hundred five billion, seven hundred two million, fifty thousand, two hundred sixteen".