103879995736608 has 720 divisors, whose sum is σ = 382911671640960. Its totient is φ = 27383526890496.

The previous prime is 103879995736579. The next prime is 103879995736613. The reversal of 103879995736608 is 806637599978301.

103879995736608 is a `hidden beast` number, since 1 + 0 + 3 + 87 + 99 + 95 + 7 + 366 + 0 + 8 = 666.

It is a super-2 number, since 2×103879995736608² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 119 ways as a sum of consecutive naturals, for example, 3637367833 + ... + 3637396391.

It is an arithmetic number, because the mean of its divisors is an integer number (531821766168).

Almost surely, 2^{103879995736608} is an apocalyptic number.

103879995736608 is a gapful number since it is divisible by the number (18) 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 103879995736608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191455835820480).

103879995736608 is an abundant number, since it is smaller than the sum of its proper divisors (279031675904352).

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

103879995736608 is a wasteful number, since it uses less digits than its factorization.

103879995736608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30811 (or 30787 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 103879995736608 in words is "one hundred three trillion, eight hundred seventy-nine billion, nine hundred ninety-five million, seven hundred thirty-six thousand, six hundred eight".