100530612600 has 768 divisors, whose sum is σ = 367176499200. Its totient is φ = 22513920000.

The previous prime is 100530612557. The next prime is 100530612613. The reversal of 100530612600 is 6216035001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 995352550 + ... + 995352650.

It is an arithmetic number, because the mean of its divisors is an integer number (478094400).

Almost surely, 2^100530612600 is an apocalyptic number.

100530612600 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 100530612600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183588249600).

100530612600 is an abundant number, since it is smaller than the sum of its proper divisors (266645886600).

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

100530612600 is a wasteful number, since it uses less digits than its factorization.

100530612600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 100530612600 its reverse (6216035001), we get a palindrome (106746647601).

The spelling of 100530612600 in words is "one hundred billion, five hundred thirty million, six hundred twelve thousand, six hundred".