10005689430 has 160 divisors (see below), whose sum is σ = 29407704480. Its totient is φ = 2420858880.

The previous prime is 10005689377. The next prime is 10005689437. The reversal of 10005689430 is 3498650001.

10005689430 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 568 + 94 + 3 + 0 = 666.

It is a super-2 number, since 2×10005689430² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005689437) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7100566 + ... + 7101974.

It is an arithmetic number, because the mean of its divisors is an integer number (183798153).

Almost surely, 2^10005689430 is an apocalyptic number.

10005689430 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 10005689430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703852240).

10005689430 is an abundant number, since it is smaller than the sum of its proper divisors (19402015050).

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

10005689430 is a wasteful number, since it uses less digits than its factorization.

10005689430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10005689430 in words is "ten billion, five million, six hundred eighty-nine thousand, four hundred thirty".