103282067130 has 256 divisors, whose sum is σ = 295094845440. Its totient is φ = 22864723200.

The previous prime is 103282067117. The next prime is 103282067131. The reversal of 103282067130 is 31760282301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103282067091 and 103282067100.

It is not an unprimeable number, because it can be changed into a prime (103282067131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19741615 + ... + 19746845.

It is an arithmetic number, because the mean of its divisors is an integer number (1152714240).

Almost surely, 2^103282067130 is an apocalyptic number.

103282067130 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 103282067130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147547422720).

103282067130 is an abundant number, since it is smaller than the sum of its proper divisors (191812778310).

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

103282067130 is a wasteful number, since it uses less digits than its factorization.

103282067130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385.

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 103282067130 in words is "one hundred three billion, two hundred eighty-two million, sixty-seven thousand, one hundred thirty".