105549320780 has 48 divisors (see below), whose sum is σ = 223969336416. Its totient is φ = 41779084800.

The previous prime is 105549320777. The next prime is 105549320783. The reversal of 105549320780 is 87023945501.

It is an interprime number because it is at equal distance from previous prime (105549320777) and next prime (105549320783).

It is a super-2 number, since 2×105549320780² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105549320783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4000592 + ... + 4026888.

It is an arithmetic number, because the mean of its divisors is an integer number (4666027842).

Almost surely, 2^105549320780 is an apocalyptic number.

105549320780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105549320780 is an abundant number, since it is smaller than the sum of its proper divisors (118420015636).

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

105549320780 is a wasteful number, since it uses less digits than its factorization.

105549320780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28394 (or 28392 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 105549320780 in words is "one hundred five billion, five hundred forty-nine million, three hundred twenty thousand, seven hundred eighty".