105605341620150 has 48 divisors (see below), whose sum is σ = 261902014765200. Its totient is φ = 28161341900160.

The previous prime is 105605341620137. The next prime is 105605341620167. The reversal of 105605341620150 is 51026143506501.

It is a super-2 number, since 2×105605341620150² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105605341620099 and 105605341620108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63898416 + ... + 65530284.

It is an arithmetic number, because the mean of its divisors is an integer number (5456291974275).

Almost surely, 2^{105605341620150} is an apocalyptic number.

105605341620150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105605341620150 is an abundant number, since it is smaller than the sum of its proper divisors (156296673145050).

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

105605341620150 is a wasteful number, since it uses less digits than its factorization.

105605341620150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063313 (or 2063308 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 105605341620150 in words is "one hundred five trillion, six hundred five billion, three hundred forty-one million, six hundred twenty thousand, one hundred fifty".