105215594291808 has 2304 divisors, whose sum is σ = 399571638681600. Its totient is φ = 23548995993600.

The previous prime is 105215594291807. The next prime is 105215594291827. The reversal of 105215594291808 is 808192495512501.

It is a happy number.

It is a super-2 number, since 2×105215594291808² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105215594291807) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 125405952253 + ... + 125405953091.

It is an arithmetic number, because the mean of its divisors is an integer number (173425190400).

Almost surely, 2^{105215594291808} 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 105215594291808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199785819340800).

105215594291808 is an abundant number, since it is smaller than the sum of its proper divisors (294356044389792).

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

105215594291808 is a wasteful number, since it uses less digits than its factorization.

105215594291808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 60.

The spelling of 105215594291808 in words is "one hundred five trillion, two hundred fifteen billion, five hundred ninety-four million, two hundred ninety-one thousand, eight hundred eight".