103055360099328 has 2112 divisors, whose sum is σ = 390105167961600. Its totient is φ = 27001226133504.

The previous prime is 103055360099303. The next prime is 103055360099371. The reversal of 103055360099328 is 823990063550301.

103055360099328 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 5 + 5 + 3 + 600 + 9 + 9 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 325095773026 + ... + 325095773342.

Almost surely, 2^{103055360099328} is an apocalyptic number.

103055360099328 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 103055360099328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195052583980800).

103055360099328 is an abundant number, since it is smaller than the sum of its proper divisors (287049807862272).

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

103055360099328 is an equidigital number, since it uses as much as digits as its factorization.

103055360099328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 103055360099328 in words is "one hundred three trillion, fifty-five billion, three hundred sixty million, ninety-nine thousand, three hundred twenty-eight".