105904821380 has 24 divisors (see below), whose sum is σ = 222506675160. Its totient is φ = 42341633280.

The previous prime is 105904821377. The next prime is 105904821439. The reversal of 105904821380 is 83128409501.

It can be written as a sum of positive squares in 4 ways, for example, as 30947142724 + 74957678656 = 175918^2 + 273784^2 .

It is a super-2 number, since 2×105904821380² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1225631 + ... + 1309190.

It is an arithmetic number, because the mean of its divisors is an integer number (9271111465).

Almost surely, 2^105904821380 is an apocalyptic number.

105904821380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105904821380 is an abundant number, since it is smaller than the sum of its proper divisors (116601853780).

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

105904821380 is a wasteful number, since it uses less digits than its factorization.

105904821380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536919 (or 2536917 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 105904821380 in words is "one hundred five billion, nine hundred four million, eight hundred twenty-one thousand, three hundred eighty".