105216674444 has 24 divisors (see below), whose sum is σ = 210443483040. Its totient is φ = 45090688896.

The previous prime is 105216674399. The next prime is 105216674467. The reversal of 105216674444 is 444476612501.

105216674444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105216674444² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105216674395 and 105216674404.

It is an unprimeable number.

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, 591494 + ... + 748530.

It is an arithmetic number, because the mean of its divisors is an integer number (8768478460).

Almost surely, 2^105216674444 is an apocalyptic number.

105216674444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105216674444 is an abundant number, since it is smaller than the sum of its proper divisors (105226808596).

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

105216674444 is a wasteful number, since it uses less digits than its factorization.

105216674444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180977 (or 180975 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 105216674444 in words is "one hundred five billion, two hundred sixteen million, six hundred seventy-four thousand, four hundred forty-four".