100854132480 has 288 divisors, whose sum is σ = 364651398720. Its totient is φ = 26386513920.

The previous prime is 100854132479. The next prime is 100854132497. The reversal of 100854132480 is 84231458001.

100854132480 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 541 + 32 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1804150 + ... + 1859210.

It is an arithmetic number, because the mean of its divisors is an integer number (1266150690).

Almost surely, 2^100854132480 is an apocalyptic number.

100854132480 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 100854132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182325699360).

100854132480 is an abundant number, since it is smaller than the sum of its proper divisors (263797266240).

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

100854132480 is an equidigital number, since it uses as much as digits as its factorization.

100854132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55144 (or 55124 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 100854132480 in words is "one hundred billion, eight hundred fifty-four million, one hundred thirty-two thousand, four hundred eighty".