103130580 has 192 divisors, whose sum is σ = 347493888. Its totient is φ = 22364160.

The previous prime is 103130569. The next prime is 103130591. The reversal of 103130580 is 85031301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103130569) and next prime (103130591).

It is a super-3 number, since 3×103130580³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 912604 + ... + 912716.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864).

Almost surely, 2^103130580 is an apocalyptic number.

103130580 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 103130580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944).

103130580 is an abundant number, since it is smaller than the sum of its proper divisors (244363308).

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

103130580 is a wasteful number, since it uses less digits than its factorization.

103130580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 103130580 is about 10155.3227422864. The cubic root of 103130580 is about 468.9528217402.

Adding to 103130580 its reverse (85031301), we get a palindrome (188161881).

The spelling of 103130580 in words is "one hundred three million, one hundred thirty thousand, five hundred eighty".