105741180117312 has 56 divisors (see below), whose sum is σ = 279801801189792. Its totient is φ = 35243499456000.

The previous prime is 105741180117283. The next prime is 105741180117319. The reversal of 105741180117312 is 213711081147501.

It is a super-2 number, since 2×105741180117312² (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 (105741180117319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25911114 + ... + 29713097.

It is an arithmetic number, because the mean of its divisors is an integer number (4996460735532).

Almost surely, 2^{105741180117312} is an apocalyptic number.

105741180117312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105741180117312 is an abundant number, since it is smaller than the sum of its proper divisors (174060621072480).

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

105741180117312 is an equidigital number, since it uses as much as digits as its factorization.

105741180117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55634127 (or 55634117 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 42.

The spelling of 105741180117312 in words is "one hundred five trillion, seven hundred forty-one billion, one hundred eighty million, one hundred seventeen thousand, three hundred twelve".