105665222433050 has 48 divisors (see below), whose sum is σ = 224891717526720. Its totient is φ = 36183294860160.

The previous prime is 105665222433031. The next prime is 105665222433097. The reversal of 105665222433050 is 50334222566501.

It is a super-2 number, since 2×105665222433050² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105665222432992 and 105665222433010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186305624 + ... + 186871923.

It is an arithmetic number, because the mean of its divisors is an integer number (4685244115140).

Almost surely, 2^{105665222433050} is an apocalyptic number.

105665222433050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105665222433050 is an abundant number, since it is smaller than the sum of its proper divisors (119226495093670).

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

105665222433050 is a wasteful number, since it uses less digits than its factorization.

105665222433050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373178375 (or 373178370 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

Adding to 105665222433050 its reverse (50334222566501), we get a palindrome (155999444999551).

The spelling of 105665222433050 in words is "one hundred five trillion, six hundred sixty-five billion, two hundred twenty-two million, four hundred thirty-three thousand, fifty".