100053233280 has 2304 divisors, whose sum is σ = 492165797760. Its totient is φ = 18393661440.

The previous prime is 100053233237. The next prime is 100053233281. The reversal of 100053233280 is 82332350001.

100053233280 is a `hidden beast` number, since 10 + 0 + 0 + 5 + 323 + 328 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (100053233281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1493331807 + ... + 1493331873.

Almost surely, 2^100053233280 is an apocalyptic number.

100053233280 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 100053233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246082898880).

100053233280 is an abundant number, since it is smaller than the sum of its proper divisors (392112564480).

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

100053233280 is a wasteful number, since it uses less digits than its factorization.

100053233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 100053233280 its reverse (82332350001), we get a palindrome (182385583281).

It can be divided in two parts, 100053 and 233280, that added together give a palindrome (333333).

The spelling of 100053233280 in words is "one hundred billion, fifty-three million, two hundred thirty-three thousand, two hundred eighty".