100440618760 has 64 divisors (see below), whose sum is σ = 233697415680. Its totient is φ = 38810910720.

The previous prime is 100440618757. The next prime is 100440618767. The reversal of 100440618760 is 67816044001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100440618767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626184 + ... + 770056.

It is an arithmetic number, because the mean of its divisors is an integer number (3651522120).

Almost surely, 2^100440618760 is an apocalyptic number.

100440618760 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 100440618760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116848707840).

100440618760 is an abundant number, since it is smaller than the sum of its proper divisors (133256796920).

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

100440618760 is a wasteful number, since it uses less digits than its factorization.

100440618760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144478 (or 144474 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 100440618760 in words is "one hundred billion, four hundred forty million, six hundred eighteen thousand, seven hundred sixty".