10066881 has 16 divisors (see below), whose sum is σ = 14784768. Its totient is φ = 6042000.

The previous prime is 10066841. The next prime is 10066921. The reversal of 10066881 is 18866001.

10066881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10066841) and next prime (10066921).

It is not a de Polignac number, because 10066881 - 2⁷ = 10066753 is a prime.

It is a super-2 number, since 2×10066881² = 202684186136322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10066841) 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, 2106 + ... + 4956.

It is an arithmetic number, because the mean of its divisors is an integer number (924048).

Almost surely, 2^10066881 is an apocalyptic number.

10066881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10066881 is a deficient number, since it is larger than the sum of its proper divisors (4717887).

10066881 is a wasteful number, since it uses less digits than its factorization.

10066881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 10066881 is about 3172.8348523048. The cubic root of 10066881 is about 215.9227046821.

It can be divided in two parts, 1006 and 6881, that added together give a palindrome (7887).

The spelling of 10066881 in words is "ten million, sixty-six thousand, eight hundred eighty-one".