103406400216 has 48 divisors (see below), whose sum is σ = 320067430800. Its totient is φ = 29544685632.

The previous prime is 103406400193. The next prime is 103406400277. The reversal of 103406400216 is 612004604301.

103406400216 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 0 + 640 + 0 + 2 + 16 = 666.

103406400216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 103406400216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102585211 + ... + 102586218.

It is an arithmetic number, because the mean of its divisors is an integer number (6668071475).

Almost surely, 2^103406400216 is an apocalyptic number.

It is an amenable number.

103406400216 is an abundant number, since it is smaller than the sum of its proper divisors (216661030584).

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

103406400216 is a wasteful number, since it uses less digits than its factorization.

103406400216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205171448 (or 205171441 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 103406400216 in words is "one hundred three billion, four hundred six million, four hundred thousand, two hundred sixteen".