103965305080 has 576 divisors, whose sum is σ = 310927248000. Its totient is φ = 31137619968.

The previous prime is 103965305063. The next prime is 103965305113. The reversal of 103965305080 is 80503569301.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 758870772 + ... + 758870908.

It is an arithmetic number, because the mean of its divisors is an integer number (539804250).

Almost surely, 2^103965305080 is an apocalyptic number.

103965305080 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 103965305080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155463624000).

103965305080 is an abundant number, since it is smaller than the sum of its proper divisors (206961942920).

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

103965305080 is a wasteful number, since it uses less digits than its factorization.

103965305080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 103965305080 in words is "one hundred three billion, nine hundred sixty-five million, three hundred five thousand, eighty".