105350768180 has 48 divisors (see below), whose sum is σ = 252861388416. Its totient is φ = 36117471360.

The previous prime is 105350768143. The next prime is 105350768207. The reversal of 105350768180 is 81867053501.

105350768180 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 2×105350768180² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2699567 + ... + 2738313.

It is an arithmetic number, because the mean of its divisors is an integer number (5267945592).

Almost surely, 2^105350768180 is an apocalyptic number.

105350768180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105350768180 is an abundant number, since it is smaller than the sum of its proper divisors (147510620236).

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

105350768180 is a wasteful number, since it uses less digits than its factorization.

105350768180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58184 (or 58182 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 44.

The spelling of 105350768180 in words is "one hundred five billion, three hundred fifty million, seven hundred sixty-eight thousand, one hundred eighty".