105368228520 has 128 divisors (see below), whose sum is σ = 328297017600. Its totient is φ = 27031504896.

The previous prime is 105368228437. The next prime is 105368228527. The reversal of 105368228520 is 25822863501.

It is a happy number.

105368228520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105368228520² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105368228527) 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, 261837 + ... + 528483.

It is an arithmetic number, because the mean of its divisors is an integer number (2564820450).

Almost surely, 2^105368228520 is an apocalyptic number.

105368228520 is a gapful number since it is divisible by the number (10) 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 105368228520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164148508800).

105368228520 is an abundant number, since it is smaller than the sum of its proper divisors (222928789080).

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

105368228520 is a wasteful number, since it uses less digits than its factorization.

105368228520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266787 (or 266783 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 105368228520 in words is "one hundred five billion, three hundred sixty-eight million, two hundred twenty-eight thousand, five hundred twenty".