103205105130 has 128 divisors (see below), whose sum is σ = 257429145600. Its totient is φ = 26466003200.

The previous prime is 103205105117. The next prime is 103205105137. The reversal of 103205105130 is 31501502301.

It is a junction number, because it is equal to n+sod(n) for n = 103205105097 and 103205105106.

It is not an unprimeable number, because it can be changed into a prime (103205105137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16459636 + ... + 16465904.

It is an arithmetic number, because the mean of its divisors is an integer number (2011165200).

Almost surely, 2^103205105130 is an apocalyptic number.

103205105130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103205105130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128714572800).

103205105130 is an abundant number, since it is smaller than the sum of its proper divisors (154224040470).

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

103205105130 is a wasteful number, since it uses less digits than its factorization.

103205105130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540.

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 103205105130 its reverse (31501502301), we get a palindrome (134706607431).

It can be divided in two parts, 103205 and 105130, that added together give a triangular number (208335 = T₆₄₅).

The spelling of 103205105130 in words is "one hundred three billion, two hundred five million, one hundred five thousand, one hundred thirty".