105666422114007 has 12 divisors (see below), whose sum is σ = 154907325289080. Its totient is φ = 69392874223728.

The previous prime is 105666422113961. The next prime is 105666422114083. The reversal of 105666422114007 is 700411224666501.

It is not a de Polignac number, because 105666422114007 - 2⁸ = 105666422113751 is a prime.

It is a super-2 number, since 2×105666422114007² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105666422112007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87617264832 + ... + 87617266037.

It is an arithmetic number, because the mean of its divisors is an integer number (12908943774090).

Almost surely, 2^{105666422114007} is an apocalyptic number.

105666422114007 is a deficient number, since it is larger than the sum of its proper divisors (49240903175073).

105666422114007 is a wasteful number, since it uses less digits than its factorization.

105666422114007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175234530942 (or 175234530939 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 105666422114007 in words is "one hundred five trillion, six hundred sixty-six billion, four hundred twenty-two million, one hundred fourteen thousand, seven".