105209106816 has 512 divisors, whose sum is σ = 331988751360. Its totient is φ = 29196288000.

The previous prime is 105209106803. The next prime is 105209106841. The reversal of 105209106816 is 618601902501.

It is a super-2 number, since 2×105209106816² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242976936 + ... + 242977368.

It is an arithmetic number, because the mean of its divisors is an integer number (648415530).

Almost surely, 2^105209106816 is an apocalyptic number.

105209106816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105209106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165994375680).

105209106816 is an abundant number, since it is smaller than the sum of its proper divisors (226779644544).

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

105209106816 is a wasteful number, since it uses less digits than its factorization.

105209106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 105209106816 in words is "one hundred five billion, two hundred nine million, one hundred six thousand, eight hundred sixteen".