10005022314 has 80 divisors (see below), whose sum is σ = 25639416000. Its totient is φ = 2856560256.

The previous prime is 10005022289. The next prime is 10005022319. The reversal of 10005022314 is 41322050001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10005022319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2468962 + ... + 2473010.

It is an arithmetic number, because the mean of its divisors is an integer number (320492700).

Almost surely, 2^10005022314 is an apocalyptic number.

10005022314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005022314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819708000).

10005022314 is an abundant number, since it is smaller than the sum of its proper divisors (15634393686).

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

10005022314 is a wasteful number, since it uses less digits than its factorization.

10005022314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10005022314 its reverse (41322050001), we get a palindrome (51327072315).

The spelling of 10005022314 in words is "ten billion, five million, twenty-two thousand, three hundred fourteen".