100518200640 has 1120 divisors, whose sum is σ = 429752784384. Its totient is φ = 21976842240.

The previous prime is 100518200633. The next prime is 100518200641. The reversal of 100518200640 is 46002815001.

100518200640 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 18 + 2 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100518200641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 174208032 + ... + 174208608.

Almost surely, 2^100518200640 is an apocalyptic number.

100518200640 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 100518200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214876392192).

100518200640 is an abundant number, since it is smaller than the sum of its proper divisors (329234583744).

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

100518200640 is a wasteful number, since it uses less digits than its factorization.

100518200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 100518200640 in words is "one hundred billion, five hundred eighteen million, two hundred thousand, six hundred forty".