106105566660660 has 576 divisors, whose sum is σ = 389437719810048. Its totient is φ = 22869734400000.

The previous prime is 106105566660631. The next prime is 106105566660671. The reversal of 106105566660660 is 66066665501601.

It is a super-2 number, since 2×106105566660660² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106105566660597 and 106105566660606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1314758310 + ... + 1314839010.

It is an arithmetic number, because the mean of its divisors is an integer number (676107152448).

Almost surely, 2^{106105566660660} is an apocalyptic number.

106105566660660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106105566660660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194718859905024).

106105566660660 is an abundant number, since it is smaller than the sum of its proper divisors (283332153149388).

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

106105566660660 is a wasteful number, since it uses less digits than its factorization.

106105566660660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81616 (or 81611 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 106105566660660 in words is "one hundred six trillion, one hundred five billion, five hundred sixty-six million, six hundred sixty thousand, six hundred sixty".