10005066120 has 128 divisors (see below), whose sum is σ = 35486035200. Its totient is φ = 2208009216.

The previous prime is 10005066059. The next prime is 10005066143. The reversal of 10005066120 is 2166050001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 180999 + ... + 229718.

It is an arithmetic number, because the mean of its divisors is an integer number (277234650).

Almost surely, 2^10005066120 is an apocalyptic number.

10005066120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005066120 is an abundant number, since it is smaller than the sum of its proper divisors (25480969080).

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

10005066120 is a wasteful number, since it uses less digits than its factorization.

10005066120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410767 (or 410763 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 10005066120 in words is "ten billion, five million, sixty-six thousand, one hundred twenty".