105561110060000 has 120 divisors (see below), whose sum is σ = 296795617438320. Its totient is φ = 36192380544000.

The previous prime is 105561110059943. The next prime is 105561110060017. The reversal of 105561110060000 is 60011165501.

105561110060000 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 2×105561110060000² (a number of 29 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 19 ways as a sum of consecutive naturals, for example, 376863965 + ... + 377143964.

It is an arithmetic number, because the mean of its divisors is an integer number (2473296811986).

Almost surely, 2^{105561110060000} is an apocalyptic number.

105561110060000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105561110060000 is an abundant number, since it is smaller than the sum of its proper divisors (191234507378320).

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

105561110060000 is an frugal number, since it uses more digits than its factorization.

105561110060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754007966 (or 754007943 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 105561110060000 in words is "one hundred five trillion, five hundred sixty-one billion, one hundred ten million, sixty thousand".