107339606303616 has 1024 divisors, whose sum is σ = 347695628544000. Its totient is φ = 32879505899520.

The previous prime is 107339606303563. The next prime is 107339606303639. The reversal of 107339606303616 is 616303606933701.

107339606303616 is a `hidden beast` number, since 10 + 7 + 3 + 3 + 9 + 6 + 0 + 6 + 3 + 0 + 3 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 36153452980 + ... + 36153455948.

It is an arithmetic number, because the mean of its divisors is an integer number (339546512250).

Almost surely, 2^{107339606303616} is an apocalyptic number.

107339606303616 is a gapful number since it is divisible by the number (16) 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 107339606303616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173847814272000).

107339606303616 is an abundant number, since it is smaller than the sum of its proper divisors (240356022240384).

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

107339606303616 is an equidigital number, since it uses as much as digits as its factorization.

107339606303616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 54.

The spelling of 107339606303616 in words is "one hundred seven trillion, three hundred thirty-nine billion, six hundred six million, three hundred three thousand, six hundred sixteen".