103120034000 has 80 divisors (see below), whose sum is σ = 249901750800. Its totient is φ = 41155788800.

The previous prime is 103120033999. The next prime is 103120034011. The reversal of 103120034000 is 430021301.

It can be written as a sum of positive squares in 8 ways, for example, as 64367749264 + 38752284736 = 253708^2 + 196856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×103120034000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840584 + ... + 955416.

It is an arithmetic number, because the mean of its divisors is an integer number (3123771885).

Almost surely, 2^103120034000 is an apocalyptic number.

103120034000 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 103120034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124950875400).

103120034000 is an abundant number, since it is smaller than the sum of its proper divisors (146781716800).

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

103120034000 is a wasteful number, since it uses less digits than its factorization.

103120034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115305 (or 115289 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 103120034000 its reverse (430021301), we get a palindrome (103550055301).

The spelling of 103120034000 in words is "one hundred three billion, one hundred twenty million, thirty-four thousand".