105301501131222 has 48 divisors (see below), whose sum is σ = 248907902937408. Its totient is φ = 31907821987440.

The previous prime is 105301501131221. The next prime is 105301501131227. The reversal of 105301501131222 is 222131105103501.

105301501131222 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 0 + 1 + 501 + 131 + 2 + 22 = 666.

It is a super-2 number, since 2×105301501131222² (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 (105301501131221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10688268 + ... + 18023375.

It is an arithmetic number, because the mean of its divisors is an integer number (5185581311196).

Almost surely, 2^{105301501131222} is an apocalyptic number.

105301501131222 is an abundant number, since it is smaller than the sum of its proper divisors (143606401806186).

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

105301501131222 is a wasteful number, since it uses less digits than its factorization.

105301501131222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28730185 (or 28730182 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 105301501131222 its reverse (222131105103501), we get a palindrome (327432606234723).

The spelling of 105301501131222 in words is "one hundred five trillion, three hundred one billion, five hundred one million, one hundred thirty-one thousand, two hundred twenty-two".