103120030080 has 576 divisors, whose sum is σ = 374690206800. Its totient is φ = 26112761856.

The previous prime is 103120030033. The next prime is 103120030081. The reversal of 103120030080 is 80030021301.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103120030081) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 741870651 + ... + 741870789.

Almost surely, 2^103120030080 is an apocalyptic number.

103120030080 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 103120030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187345103400).

103120030080 is an abundant number, since it is smaller than the sum of its proper divisors (271570176720).

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

103120030080 is a wasteful number, since it uses less digits than its factorization.

103120030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103120030080 its reverse (80030021301), we get a palindrome (183150051381).

The spelling of 103120030080 in words is "one hundred three billion, one hundred twenty million, thirty thousand, eighty".