106666402080 has 768 divisors, whose sum is σ = 427234590720. Its totient is φ = 21808742400.

The previous prime is 106666402039. The next prime is 106666402081. The reversal of 106666402080 is 80204666601.

It is a super-2 number, since 2×106666402080² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106666402081) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 104471970 + ... + 104472990.

It is an arithmetic number, because the mean of its divisors is an integer number (556295040).

Almost surely, 2^106666402080 is an apocalyptic number.

106666402080 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 106666402080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213617295360).

106666402080 is an abundant number, since it is smaller than the sum of its proper divisors (320568188640).

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

106666402080 is a wasteful number, since it uses less digits than its factorization.

106666402080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 106666402080 in words is "one hundred six billion, six hundred sixty-six million, four hundred two thousand, eighty".