103330272960 has 672 divisors, whose sum is σ = 380577742272. Its totient is φ = 25692733440.

The previous prime is 103330272931. The next prime is 103330272971. The reversal of 103330272960 is 69272033301.

103330272960 is a `hidden beast` number, since 10 + 3 + 330 + 27 + 296 + 0 = 666.

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

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, 292720144 + ... + 292720496.

It is an arithmetic number, because the mean of its divisors is an integer number (566335926).

Almost surely, 2^103330272960 is an apocalyptic number.

103330272960 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 103330272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190288871136).

103330272960 is an abundant number, since it is smaller than the sum of its proper divisors (277247469312).

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

103330272960 is a wasteful number, since it uses less digits than its factorization.

103330272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 103330272960 in words is "one hundred three billion, three hundred thirty million, two hundred seventy-two thousand, nine hundred sixty".