103410507816 has 480 divisors, whose sum is σ = 385289593920. Its totient is φ = 25277598720.

The previous prime is 103410507797. The next prime is 103410507857. The reversal of 103410507816 is 618705014301.

103410507816 is a `hidden beast` number, since 103 + 41 + 0 + 507 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9325011 + ... + 9336093.

It is an arithmetic number, because the mean of its divisors is an integer number (802686654).

Almost surely, 2^103410507816 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 103410507816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192644796960).

103410507816 is an abundant number, since it is smaller than the sum of its proper divisors (281879086104).

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

103410507816 is a wasteful number, since it uses less digits than its factorization.

103410507816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11147 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 103410507816 in words is "one hundred three billion, four hundred ten million, five hundred seven thousand, eight hundred sixteen".