10103205530916 has 243 divisors, whose sum is σ = 27623474724027. Its totient is φ = 3113202929760.

The previous prime is 10103205530911. The next prime is 10103205530981. The reversal of 10103205530916 is 61903550230101.

It is a happy number.

The square root of 10103205530916 is 3178554.

It is a perfect power (a square), and thus also a powerful number.

10103205530916 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 32 + 0 + 5 + 530 + 91 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10103205530911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13597853641 + ... + 13597854383.

Almost surely, 2^{10103205530916} is an apocalyptic number.

10103205530916 is the 3178554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103205530916

10103205530916 is an abundant number, since it is smaller than the sum of its proper divisors (17520269193111).

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

10103205530916 is an equidigital number, since it uses as much as digits as its factorization.

10103205530916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

Multiplying 10103205530916 by its sum of digits (36), we get a square (363715399112976 = 19071324²).

10103205530916 divided by its sum of digits (36) gives a square (280644598081 = 529759²).

It can be divided in two parts, 10103205 and 530916, that added together give a square (10634121 = 3261²).

The spelling of 10103205530916 in words is "ten trillion, one hundred three billion, two hundred five million, five hundred thirty thousand, nine hundred sixteen".