10085060430 has 96 divisors (see below), whose sum is σ = 27471495168. Its totient is φ = 2563704000.

The previous prime is 10085060423. The next prime is 10085060443. The reversal of 10085060430 is 3406058001.

10085060430 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 50 + 604 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10085060394 and 10085060403.

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 47 ways as a sum of consecutive naturals, for example, 159955 + ... + 213905.

It is an arithmetic number, because the mean of its divisors is an integer number (286161408).

Almost surely, 2^10085060430 is an apocalyptic number.

10085060430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10085060430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735747584).

10085060430 is an abundant number, since it is smaller than the sum of its proper divisors (17386434738).

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

10085060430 is a wasteful number, since it uses less digits than its factorization.

10085060430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54062 (or 54059 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10085060430 in words is "ten billion, eighty-five million, sixty thousand, four hundred thirty".