103275808128 has 96 divisors (see below), whose sum is σ = 298431151200. Its totient is φ = 34281139200.

The previous prime is 103275808091. The next prime is 103275808151. The reversal of 103275808128 is 821808572301.

103275808128 is a `hidden beast` number, since 10 + 32 + 7 + 580 + 8 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87778 + ... + 462878.

It is an arithmetic number, because the mean of its divisors is an integer number (3108657825).

Almost surely, 2^103275808128 is an apocalyptic number.

103275808128 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 103275808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149215575600).

103275808128 is an abundant number, since it is smaller than the sum of its proper divisors (195155343072).

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

103275808128 is a wasteful number, since it uses less digits than its factorization.

103275808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375360 (or 375345 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 103275808128 in words is "one hundred three billion, two hundred seventy-five million, eight hundred eight thousand, one hundred twenty-eight".