106125066 has 40 divisors (see below), whose sum is σ = 238817700. Its totient is φ = 35223552.

The previous prime is 106125037. The next prime is 106125077. The reversal of 106125066 is 660521601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 73874025 + 32251041 = 8595^2 + 5679^2 .

It is a super-2 number, since 2×106125066² = 22525059267008712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 19 ways as a sum of consecutive naturals, for example, 40360 + ... + 42908.

Almost surely, 2^106125066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106125066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119408850).

106125066 is an abundant number, since it is smaller than the sum of its proper divisors (132692634).

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

106125066 is a wasteful number, since it uses less digits than its factorization.

106125066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106125066 is about 10301.7020923729. The cubic root of 106125066 is about 473.4484049836.

Adding to 106125066 its reverse (660521601), we get a palindrome (766646667).

The spelling of 106125066 in words is "one hundred six million, one hundred twenty-five thousand, sixty-six".