100330562500 has 189 divisors, whose sum is σ = 256720483467. Its totient is φ = 34209000000.

The previous prime is 100330562489. The next prime is 100330562503. The reversal of 100330562500 is 5265033001.

It is a happy number.

The square root of 100330562500 is 316750.

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

It can be written as a sum of positive squares in 10 ways, for example, as 20164568004 + 80165994496 = 142002^2 + 283136^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (100330562503) 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 62 ways as a sum of consecutive naturals, for example, 554312410 + ... + 554312590.

Almost surely, 2^100330562500 is an apocalyptic number.

100330562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100330562500 is the 316750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100330562500

100330562500 is an abundant number, since it is smaller than the sum of its proper divisors (156389920967).

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

100330562500 is an frugal number, since it uses more digits than its factorization.

100330562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Multiplying 100330562500 by its sum of digits (25), we get a square (2508264062500 = 1583750²).

100330562500 divided by its sum of digits (25) gives a square (4013222500 = 63350²).

Adding to 100330562500 its reverse (5265033001), we get a palindrome (105595595501).

The spelling of 100330562500 in words is "one hundred billion, three hundred thirty million, five hundred sixty-two thousand, five hundred".