100181282083600 has 135 divisors (see below), whose sum is σ = 249285666419517. Its totient is φ = 38688460016640.

The previous prime is 100181282083549. The next prime is 100181282083609. The reversal of 100181282083600 is 6380282181001.

The square root of 100181282083600 is 10009060.

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

It can be written as a sum of positive squares in 13 ways, for example, as 99748718055184 + 432564028416 = 9987428^2 + 657696^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100181282083609) 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 26 ways as a sum of consecutive naturals, for example, 5805246172 + ... + 5805263428.

Almost surely, 2^{100181282083600} is an apocalyptic number.

100181282083600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100181282083600 is the 10009060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100181282083600

100181282083600 is an abundant number, since it is smaller than the sum of its proper divisors (149104384335917).

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

100181282083600 is an frugal number, since it uses more digits than its factorization.

100181282083600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34590 (or 17293 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 100181282083600 in words is "one hundred trillion, one hundred eighty-one billion, two hundred eighty-two million, eighty-three thousand, six hundred".