103668764256099 has 384 divisors, whose sum is σ = 192681231360000. Its totient is φ = 54761479508736.

The previous prime is 103668764256089. The next prime is 103668764256181. The reversal of 103668764256099 is 990652467866301.

103668764256099 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 6 + 8 + 7 + 6 + 4 + 2 + 5 + 609 + 9 = 666.

It is not a de Polignac number, because 103668764256099 - 2⁵ = 103668764256067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103668764256089) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 94847908197 + ... + 94847909289.

It is an arithmetic number, because the mean of its divisors is an integer number (501774040000).

It is a 1-persistent number, because it is pandigital, but 2⋅103668764256099 = 207337528512198 is not.

Almost surely, 2^{103668764256099} is an apocalyptic number.

103668764256099 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

103668764256099 is a deficient number, since it is larger than the sum of its proper divisors (89012467103901).

103668764256099 is a wasteful number, since it uses less digits than its factorization.

103668764256099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 103668764256099 in words is "one hundred three trillion, six hundred sixty-eight billion, seven hundred sixty-four million, two hundred fifty-six thousand, ninety-nine".