103883386068 has 288 divisors, whose sum is σ = 330807859200. Its totient is φ = 26702680320.

The previous prime is 103883386049. The next prime is 103883386091. The reversal of 103883386068 is 860683388301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161560155 + ... + 161560797.

It is an arithmetic number, because the mean of its divisors is an integer number (1148638400).

Almost surely, 2^103883386068 is an apocalyptic number.

103883386068 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 103883386068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165403929600).

103883386068 is an abundant number, since it is smaller than the sum of its proper divisors (226924473132).

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

103883386068 is a wasteful number, since it uses less digits than its factorization.

103883386068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 103883386068 in words is "one hundred three billion, eight hundred eighty-three million, three hundred eighty-six thousand, sixty-eight".