10006770 has 48 divisors (see below), whose sum is σ = 24700608. Its totient is φ = 2594400.

The previous prime is 10006757. The next prime is 10006781. The reversal of 10006770 is 7760001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66195 + ... + 66345.

It is an arithmetic number, because the mean of its divisors is an integer number (514596).

Almost surely, 2^10006770 is an apocalyptic number.

10006770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12350304).

10006770 is an abundant number, since it is smaller than the sum of its proper divisors (14693838).

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

10006770 is a wasteful number, since it uses less digits than its factorization.

10006770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 10006770 is about 3163.3479100472. The cubic root of 10006770 is about 215.4920764453.

Adding to 10006770 its reverse (7760001), we get a palindrome (17766771).

The spelling of 10006770 in words is "ten million, six thousand, seven hundred seventy".