103130000100 has 432 divisors, whose sum is σ = 345584912400. Its totient is φ = 25674485760.

The previous prime is 103130000089. The next prime is 103130000101. The reversal of 103130000100 is 1000031301.

103130000100 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 24 ways, for example, as 59610199104 + 43519800996 = 244152^2 + 208614^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (103130000101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 259773102 + ... + 259773498.

It is an arithmetic number, because the mean of its divisors is an integer number (799965075).

Almost surely, 2^103130000100 is an apocalyptic number.

103130000100 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 103130000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172792456200).

103130000100 is an abundant number, since it is smaller than the sum of its proper divisors (242454912300).

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

103130000100 is a wasteful number, since it uses less digits than its factorization.

103130000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 103130000100 its reverse (1000031301), we get a palindrome (104130031401).

The spelling of 103130000100 in words is "one hundred three billion, one hundred thirty million, one hundred", and thus it is an aban number.