103689083702880 has 1344 divisors, whose sum is σ = 413824433258880. Its totient is φ = 24349003481088.

The previous prime is 103689083702863. The next prime is 103689083702921. The reversal of 103689083702880 is 88207380986301.

103689083702880 is a `hidden beast` number, since 10 + 368 + 90 + 83 + 7 + 0 + 28 + 80 = 666.

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 223 ways as a sum of consecutive naturals, for example, 13845514176 + ... + 13845521664.

It is an arithmetic number, because the mean of its divisors is an integer number (307905084270).

Almost surely, 2^{103689083702880} is an apocalyptic number.

103689083702880 is a gapful number since it is divisible by the number (10) 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 103689083702880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206912216629440).

103689083702880 is an abundant number, since it is smaller than the sum of its proper divisors (310135349556000).

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

103689083702880 is a wasteful number, since it uses less digits than its factorization.

103689083702880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7955 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 103689083702880 in words is "one hundred three trillion, six hundred eighty-nine billion, eighty-three million, seven hundred two thousand, eight hundred eighty".