105066105660 has 72 divisors (see below), whose sum is σ = 318984928080. Its totient is φ = 27992625408.

The previous prime is 105066105653. The next prime is 105066105721. The reversal of 105066105660 is 66501660501.

It is a super-2 number, since 2×105066105660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57745 + ... + 462024.

Almost surely, 2^105066105660 is an apocalyptic number.

105066105660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105066105660 is an abundant number, since it is smaller than the sum of its proper divisors (213918822420).

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

105066105660 is a wasteful number, since it uses less digits than its factorization.

105066105660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520907 (or 520902 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 105066105660 in words is "one hundred five billion, sixty-six million, one hundred five thousand, six hundred sixty".