105366365660 has 24 divisors (see below), whose sum is σ = 221406106320. Its totient is φ = 42120500864.

The previous prime is 105366365633. The next prime is 105366365683. The reversal of 105366365660 is 66563663501.

It is a super-2 number, since 2×105366365660² (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 7 ways as a sum of consecutive naturals, for example, 1594649 + ... + 1659408.

It is an arithmetic number, because the mean of its divisors is an integer number (9225254430).

Almost surely, 2^105366365660 is an apocalyptic number.

105366365660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105366365660 is an abundant number, since it is smaller than the sum of its proper divisors (116039740660).

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

105366365660 is a wasteful number, since it uses less digits than its factorization.

105366365660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255685 (or 3255683 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 47.

The spelling of 105366365660 in words is "one hundred five billion, three hundred sixty-six million, three hundred sixty-five thousand, six hundred sixty".