100110874240 has 256 divisors, whose sum is σ = 272569328640. Its totient is φ = 34895462400.

The previous prime is 100110874189. The next prime is 100110874343. The reversal of 100110874240 is 42478011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110874199 and 100110874208.

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, 10569987 + ... + 10579453.

It is an arithmetic number, because the mean of its divisors is an integer number (1064723940).

Almost surely, 2^100110874240 is an apocalyptic number.

100110874240 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 100110874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136284664320).

100110874240 is an abundant number, since it is smaller than the sum of its proper divisors (172458454400).

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

100110874240 is a wasteful number, since it uses less digits than its factorization.

100110874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9571 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

Adding to 100110874240 its reverse (42478011001), we get a palindrome (142588885241).

The spelling of 100110874240 in words is "one hundred billion, one hundred ten million, eight hundred seventy-four thousand, two hundred forty".