105224116137328 has 80 divisors (see below), whose sum is σ = 212675347719072. Its totient is φ = 50390466048000.

The previous prime is 105224116137317. The next prime is 105224116137377. The reversal of 105224116137328 is 823731611422501.

It is a super-2 number, since 2×105224116137328² (a number of 29 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 15 ways as a sum of consecutive naturals, for example, 18324775 + ... + 23371897.

Almost surely, 2^{105224116137328} is an apocalyptic number.

It is an amenable number.

105224116137328 is an abundant number, since it is smaller than the sum of its proper divisors (107451231581744).

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

105224116137328 is a wasteful number, since it uses less digits than its factorization.

105224116137328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047754 (or 5047748 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

Adding to 105224116137328 its reverse (823731611422501), we get a palindrome (928955727559829).

The spelling of 105224116137328 in words is "one hundred five trillion, two hundred twenty-four billion, one hundred sixteen million, one hundred thirty-seven thousand, three hundred twenty-eight".