103275808020 has 288 divisors, whose sum is σ = 390910980096. Its totient is φ = 21441196800.

The previous prime is 103275808019. The next prime is 103275808033. The reversal of 103275808020 is 20808572301.

103275808020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20607315 + ... + 20612325.

It is an arithmetic number, because the mean of its divisors is an integer number (1357329792).

Almost surely, 2^103275808020 is an apocalyptic number.

103275808020 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 103275808020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195455490048).

103275808020 is an abundant number, since it is smaller than the sum of its proper divisors (287635172076).

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

103275808020 is a wasteful number, since it uses less digits than its factorization.

103275808020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 103275808020 in words is "one hundred three billion, two hundred seventy-five million, eight hundred eight thousand, twenty".