106005064 has 64 divisors (see below), whose sum is σ = 233668800. Its totient is φ = 44544000.

The previous prime is 106005061. The next prime is 106005073. The reversal of 106005064 is 460500601.

It is a super-2 number, since 2×106005064² = 22474147187288192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (106005061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87664 + ... + 88864.

It is an arithmetic number, because the mean of its divisors is an integer number (3651075).

Almost surely, 2^106005064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106005064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116834400).

106005064 is an abundant number, since it is smaller than the sum of its proper divisors (127663736).

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

106005064 is a wasteful number, since it uses less digits than its factorization.

106005064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 106005064 is about 10295.8760676302. The cubic root of 106005064 is about 473.2698854760.

Adding to 106005064 its reverse (460500601), we get a palindrome (566505665).

The spelling of 106005064 in words is "one hundred six million, five thousand, sixty-four".