1030552636100 has 144 divisors (see below), whose sum is σ = 2556845132688. Its totient is φ = 357165711360.

The previous prime is 1030552636079. The next prime is 1030552636153. The reversal of 1030552636100 is 16362550301.

It can be written as a sum of positive squares in 24 ways, for example, as 919005987904 + 111546648196 = 958648^2 + 333986^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8180792 + ... + 8305808.

It is an arithmetic number, because the mean of its divisors is an integer number (17755868977).

Almost surely, 2^{1030552636100} is an apocalyptic number.

1030552636100 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 1030552636100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278422566344).

1030552636100 is an abundant number, since it is smaller than the sum of its proper divisors (1526292496588).

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

1030552636100 is a wasteful number, since it uses less digits than its factorization.

1030552636100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125434 (or 125427 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 1030552636100 in words is "one trillion, thirty billion, five hundred fifty-two million, six hundred thirty-six thousand, one hundred".