106566540121200 has 60 divisors (see below), whose sum is σ = 341368150192088. Its totient is φ = 28417744032000.

The previous prime is 106566540121099. The next prime is 106566540121201. The reversal of 106566540121200 is 2121045665601.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×106566540121200² (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 (106566540121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44402723851 + ... + 44402726250.

Almost surely, 2^{106566540121200} is an apocalyptic number.

106566540121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106566540121200 is an abundant number, since it is smaller than the sum of its proper divisors (234801610070888).

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

106566540121200 is a wasteful number, since it uses less digits than its factorization.

106566540121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88805450122 (or 88805450111 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

Adding to 106566540121200 its reverse (2121045665601), we get a palindrome (108687585786801).

The spelling of 106566540121200 in words is "one hundred six trillion, five hundred sixty-six billion, five hundred forty million, one hundred twenty-one thousand, two hundred".