100480913280 has 1152 divisors, whose sum is σ = 419038064640. Its totient is φ = 21958041600.

The previous prime is 100480913243. The next prime is 100480913287. The reversal of 100480913280 is 82319084001.

100480913280 is a `hidden beast` number, since 10 + 0 + 480 + 91 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100480913287) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 526077985 + ... + 526078175.

It is an arithmetic number, because the mean of its divisors is an integer number (363748320).

Almost surely, 2^100480913280 is an apocalyptic number.

100480913280 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 100480913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209519032320).

100480913280 is an abundant number, since it is smaller than the sum of its proper divisors (318557151360).

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

100480913280 is a wasteful number, since it uses less digits than its factorization.

100480913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 100480913280 its reverse (82319084001), we get a palindrome (182799997281).

The spelling of 100480913280 in words is "one hundred billion, four hundred eighty million, nine hundred thirteen thousand, two hundred eighty".