105066680001 has 16 divisors (see below), whose sum is σ = 143217632064. Its totient is φ = 68495353344.

The previous prime is 105066679987. The next prime is 105066680041. The reversal of 105066680001 is 100086660501.

It is not a de Polignac number, because 105066680001 - 2⁵ = 105066679969 is a prime.

It is a super-2 number, since 2×105066680001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105066680041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1880200 + ... + 1935273.

It is an arithmetic number, because the mean of its divisors is an integer number (8951102004).

Almost surely, 2^105066680001 is an apocalyptic number.

It is an amenable number.

105066680001 is a deficient number, since it is larger than the sum of its proper divisors (38150952063).

105066680001 is a wasteful number, since it uses less digits than its factorization.

105066680001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815680.

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 105066680001 in words is "one hundred five billion, sixty-six million, six hundred eighty thousand, one".