10029005406 has 48 divisors (see below), whose sum is σ = 25112786400. Its totient is φ = 2833231104.

The previous prime is 10029005351. The next prime is 10029005431. The reversal of 10029005406 is 60450092001.

It is a self number, because there is not a number n which added to its sum of digits gives 10029005406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435951 + ... + 458378.

It is an arithmetic number, because the mean of its divisors is an integer number (523183050).

Almost surely, 2^10029005406 is an apocalyptic number.

10029005406 is an abundant number, since it is smaller than the sum of its proper divisors (15083780994).

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

10029005406 is a wasteful number, since it uses less digits than its factorization.

10029005406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894433 (or 894430 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10029005406 its reverse (60450092001), we get a palindrome (70479097407).

The spelling of 10029005406 in words is "ten billion, twenty-nine million, five thousand, four hundred six".