100627120440 has 384 divisors, whose sum is σ = 413829112320. Its totient is φ = 20597068800.

The previous prime is 100627120381. The next prime is 100627120459. The reversal of 100627120440 is 44021726001.

100627120440 is a `hidden beast` number, since 10 + 0 + 627 + 1 + 20 + 4 + 4 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1830150 + ... + 1884330.

It is an arithmetic number, because the mean of its divisors is an integer number (1077679980).

Almost surely, 2^100627120440 is an apocalyptic number.

100627120440 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 100627120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206914556160).

100627120440 is an abundant number, since it is smaller than the sum of its proper divisors (313201991880).

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

100627120440 is a wasteful number, since it uses less digits than its factorization.

100627120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54283 (or 54276 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 100627120440 its reverse (44021726001), we get a palindrome (144648846441).

The spelling of 100627120440 in words is "one hundred billion, six hundred twenty-seven million, one hundred twenty thousand, four hundred forty".