100518689880 has 448 divisors, whose sum is σ = 400924641600. Its totient is φ = 22182128640.

The previous prime is 100518689867. The next prime is 100518689923. The reversal of 100518689880 is 88986815001.

It is a super-2 number, since 2×100518689880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5910990 + ... + 5927970.

It is an arithmetic number, because the mean of its divisors is an integer number (894921075).

Almost surely, 2^100518689880 is an apocalyptic number.

100518689880 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 100518689880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200462320800).

100518689880 is an abundant number, since it is smaller than the sum of its proper divisors (300405951720).

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

100518689880 is a wasteful number, since it uses less digits than its factorization.

100518689880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17046 (or 17027 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 100518689880 in words is "one hundred billion, five hundred eighteen million, six hundred eighty-nine thousand, eight hundred eighty".