105331617282 has 16 divisors (see below), whose sum is σ = 219822505920. Its totient is φ = 33583993872.

The previous prime is 105331617277. The next prime is 105331617301. The reversal of 105331617282 is 282716133501.

It is a happy number.

It is a super-2 number, since 2×105331617282² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105331617282.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381636157 + ... + 381636432.

It is an arithmetic number, because the mean of its divisors is an integer number (13738906620).

Almost surely, 2^105331617282 is an apocalyptic number.

105331617282 is an abundant number, since it is smaller than the sum of its proper divisors (114490888638).

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

105331617282 is a wasteful number, since it uses less digits than its factorization.

105331617282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763272617.

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 105331617282 in words is "one hundred five billion, three hundred thirty-one million, six hundred seventeen thousand, two hundred eighty-two".