105028761180 has 96 divisors (see below), whose sum is σ = 347681456640. Its totient is φ = 23178758400.

The previous prime is 105028761139. The next prime is 105028761193. The reversal of 105028761180 is 81167820501.

It is a super-2 number, since 2×105028761180² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4299346 + ... + 4323705.

It is an arithmetic number, because the mean of its divisors is an integer number (3621681840).

Almost surely, 2^105028761180 is an apocalyptic number.

105028761180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105028761180 is an abundant number, since it is smaller than the sum of its proper divisors (242652695460).

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

105028761180 is a wasteful number, since it uses less digits than its factorization.

105028761180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623099 (or 8623097 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 105028761180 in words is "one hundred five billion, twenty-eight million, seven hundred sixty-one thousand, one hundred eighty".