105174741644 has 24 divisors (see below), whose sum is σ = 212005785600. Its totient is φ = 44719967376.

The previous prime is 105174741643. The next prime is 105174741647. The reversal of 105174741644 is 446147471501.

It is a happy number.

It is a super-2 number, since 2×105174741644² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105174741595 and 105174741604.

It is not an unprimeable number, because it can be changed into a prime (105174741643) 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, 14784794 + ... + 14791905.

It is an arithmetic number, because the mean of its divisors is an integer number (8833574400).

Almost surely, 2^105174741644 is an apocalyptic number.

105174741644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105174741644 is an abundant number, since it is smaller than the sum of its proper divisors (106831043956).

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

105174741644 is a wasteful number, since it uses less digits than its factorization.

105174741644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29576837 (or 29576835 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The spelling of 105174741644 in words is "one hundred five billion, one hundred seventy-four million, seven hundred forty-one thousand, six hundred forty-four".