100584077440 has 256 divisors, whose sum is σ = 300796727040. Its totient is φ = 31245926400.

The previous prime is 100584077417. The next prime is 100584077453. The reversal of 100584077440 is 44770485001.

It is a happy number.

It is a super-3 number, since 3×100584077440³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100584077393 and 100584077402.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15421380 + ... + 15427900.

It is an arithmetic number, because the mean of its divisors is an integer number (1174987215).

Almost surely, 2^100584077440 is an apocalyptic number.

100584077440 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 100584077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150398363520).

100584077440 is an abundant number, since it is smaller than the sum of its proper divisors (200212649600).

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

100584077440 is a wasteful number, since it uses less digits than its factorization.

100584077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 100584077440 in words is "one hundred billion, five hundred eighty-four million, seventy-seven thousand, four hundred forty".