10090967004 has 18 divisors (see below), whose sum is σ = 25507722240. Its totient is φ = 3363655656.

The previous prime is 10090966967. The next prime is 10090967017. The reversal of 10090967004 is 40076909001.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 280304639 = 10090967004 / (1 + 0 + 0 + 9 + 0 + 9 + 6 + 7 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 10090967004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140152284 + ... + 140152355.

It is an arithmetic number, because the mean of its divisors is an integer number (1417095680).

Almost surely, 2^10090967004 is an apocalyptic number.

It is an amenable number.

10090967004 is an abundant number, since it is smaller than the sum of its proper divisors (15416755236).

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

10090967004 is a wasteful number, since it uses less digits than its factorization.

10090967004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280304649 (or 280304644 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10090967004 in words is "ten billion, ninety million, nine hundred sixty-seven thousand, four".