103412302560 has 768 divisors, whose sum is σ = 425928222720. Its totient is φ = 22945628160.

The previous prime is 103412302547. The next prime is 103412302627. The reversal of 103412302560 is 65203214301.

103412302560 is a `hidden beast` number, since 10 + 341 + 2 + 302 + 5 + 6 + 0 = 666.

103412302560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181107075 + ... + 181107645.

It is an arithmetic number, because the mean of its divisors is an integer number (554594040).

Almost surely, 2^103412302560 is an apocalyptic number.

103412302560 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 103412302560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212964111360).

103412302560 is an abundant number, since it is smaller than the sum of its proper divisors (322515920160).

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

103412302560 is a wasteful number, since it uses less digits than its factorization.

103412302560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 103412302560 its reverse (65203214301), we get a palindrome (168615516861).

The spelling of 103412302560 in words is "one hundred three billion, four hundred twelve million, three hundred two thousand, five hundred sixty".