103223042000 has 160 divisors (see below), whose sum is σ = 269087923104. Its totient is φ = 38071296000.

The previous prime is 103223041991. The next prime is 103223042003. The reversal of 103223042000 is 240322301.

103223042000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 27703605136 + 75519436864 = 166444^2 + 274808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103223042000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103223042003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33720470 + ... + 33723530.

Almost surely, 2^103223042000 is an apocalyptic number.

103223042000 is a gapful number since it is divisible by the number (10) 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 103223042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134543961552).

103223042000 is an abundant number, since it is smaller than the sum of its proper divisors (165864881104).

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

103223042000 is a wasteful number, since it uses less digits than its factorization.

103223042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 103223042000 its reverse (240322301), we get a palindrome (103463364301).

The spelling of 103223042000 in words is "one hundred three billion, two hundred twenty-three million, forty-two thousand".