103123210560 has 224 divisors, whose sum is σ = 335919104640. Its totient is φ = 26794524672.

The previous prime is 103123210559. The next prime is 103123210571. The reversal of 103123210560 is 65012321301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103123210560.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5807776 + ... + 5825504.

It is an arithmetic number, because the mean of its divisors is an integer number (1499638860).

Almost surely, 2^103123210560 is an apocalyptic number.

103123210560 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 103123210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167959552320).

103123210560 is an abundant number, since it is smaller than the sum of its proper divisors (232795894080).

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

103123210560 is a wasteful number, since it uses less digits than its factorization.

103123210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17905 (or 17895 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 103123210560 its reverse (65012321301), we get a palindrome (168135531861).

The spelling of 103123210560 in words is "one hundred three billion, one hundred twenty-three million, two hundred ten thousand, five hundred sixty".