103410768 has 80 divisors (see below), whose sum is σ = 283464000. Its totient is φ = 32394240.

The previous prime is 103410767. The next prime is 103410793. The reversal of 103410768 is 867014301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103410767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135508 + ... + 136268.

It is an arithmetic number, because the mean of its divisors is an integer number (3543300).

Almost surely, 2^103410768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103410768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141732000).

103410768 is an abundant number, since it is smaller than the sum of its proper divisors (180053232).

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

103410768 is a wasteful number, since it uses less digits than its factorization.

103410768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 103410768 is about 10169.1085154993. The cubic root of 103410768 is about 469.3771256988.

It can be divided in two parts, 103 and 410768, that added together give a triangular number (410871 = T₉₀₆).

The spelling of 103410768 in words is "one hundred three million, four hundred ten thousand, seven hundred sixty-eight".