10103558140728 has 160 divisors (see below), whose sum is σ = 30484579263600. Its totient is φ = 3107931213312.

The previous prime is 10103558140723. The next prime is 10103558140747. The reversal of 10103558140728 is 82704185530101.

10103558140728 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 3 + 5 + 581 + 40 + 7 + 28 = 666.

It is a super-3 number, since 3×10103558140728³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103558140723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30778083 + ... + 31104621.

Almost surely, 2^{10103558140728} is an apocalyptic number.

10103558140728 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 10103558140728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242289631800).

10103558140728 is an abundant number, since it is smaller than the sum of its proper divisors (20381021122872).

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

10103558140728 is a wasteful number, since it uses less digits than its factorization.

10103558140728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330243 (or 330230 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 10103558140728 in words is "ten trillion, one hundred three billion, five hundred fifty-eight million, one hundred forty thousand, seven hundred twenty-eight".