103306908809664 has 336 divisors, whose sum is σ = 355249485527040. Its totient is φ = 28079982581760.

The previous prime is 103306908809647. The next prime is 103306908809677. The reversal of 103306908809664 is 466908809603301.

103306908809664 is a `hidden beast` number, since 103 + 306 + 9 + 0 + 8 + 80 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370222 + ... + 14378834.

Almost surely, 2^{103306908809664} is an apocalyptic number.

103306908809664 is a gapful number since it is divisible by the number (14) 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 103306908809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177624742763520).

103306908809664 is an abundant number, since it is smaller than the sum of its proper divisors (251942576717376).

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

103306908809664 is a wasteful number, since it uses less digits than its factorization.

103306908809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14008728 (or 14008715 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 103306908809664 in words is "one hundred three trillion, three hundred six billion, nine hundred eight million, eight hundred nine thousand, six hundred sixty-four".