10020661146 has 40 divisors (see below), whose sum is σ = 22508751540. Its totient is φ = 3332031552.

The previous prime is 10020661097. The next prime is 10020661193. The reversal of 10020661146 is 64116602001.

10020661146 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 6 + 611 + 46 = 666.

10020661146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9586563921 + 434097225 = 97911^2 + 20835^2 .

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 (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9361 + ... + 141876.

Almost surely, 2^10020661146 is an apocalyptic number.

10020661146 is an abundant number, since it is smaller than the sum of its proper divisors (12488090394).

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

10020661146 is a wasteful number, since it uses less digits than its factorization.

10020661146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151660 (or 151651 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10020661146 in words is "ten billion, twenty million, six hundred sixty-one thousand, one hundred forty-six".