103405301016 has 64 divisors (see below), whose sum is σ = 272491334400. Its totient is φ = 32609651328.

The previous prime is 103405301011. The next prime is 103405301053. The reversal of 103405301016 is 610103504301.

103405301016 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103405301011) 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, 179565 + ... + 488931.

It is an arithmetic number, because the mean of its divisors is an integer number (4257677100).

Almost surely, 2^103405301016 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 103405301016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136245667200).

103405301016 is an abundant number, since it is smaller than the sum of its proper divisors (169086033384).

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

103405301016 is a wasteful number, since it uses less digits than its factorization.

103405301016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310128 (or 310124 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 103405301016 its reverse (610103504301), we get a palindrome (713508805317).

The spelling of 103405301016 in words is "one hundred three billion, four hundred five million, three hundred one thousand, sixteen".