23002105000 has 320 divisors, whose sum is σ = 66304275840. Its totient is φ = 7299072000.

The previous prime is 23002104977. The next prime is 23002105013. The reversal of 23002105000 is 50120032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39864712 + ... + 39865288.

It is an arithmetic number, because the mean of its divisors is an integer number (207200862).

Almost surely, 2^23002105000 is an apocalyptic number.

23002105000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23002105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33152137920).

23002105000 is an abundant number, since it is smaller than the sum of its proper divisors (43302170840).

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

23002105000 is a wasteful number, since it uses less digits than its factorization.

23002105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 23002105000 its reverse (50120032), we get a palindrome (23052225032).

The spelling of 23002105000 in words is "twenty-three billion, two million, one hundred five thousand".