106000566000 has 640 divisors, whose sum is σ = 400721018880. Its totient is φ = 23607936000.

The previous prime is 106000565969. The next prime is 106000566053. The reversal of 106000566000 is 665000601.

It is a super-2 number, since 2×106000566000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 391145865 + ... + 391146135.

It is an arithmetic number, because the mean of its divisors is an integer number (626126592).

Almost surely, 2^106000566000 is an apocalyptic number.

106000566000 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 106000566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200360509440).

106000566000 is an abundant number, since it is smaller than the sum of its proper divisors (294720452880).

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

106000566000 is a wasteful number, since it uses less digits than its factorization.

106000566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 106000566000 its reverse (665000601), we get a palindrome (106665566601).

The spelling of 106000566000 in words is "one hundred six billion, five hundred sixty-six thousand".