18300401100 has 108 divisors (see below), whose sum is σ = 57390311160. Its totient is φ = 4877664000.

The previous prime is 18300401087. The next prime is 18300401107. The reversal of 18300401100 is 110400381.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (18300401107) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2452375 + ... + 2459825.

It is an arithmetic number, because the mean of its divisors is an integer number (531391770).

Almost surely, 2^18300401100 is an apocalyptic number.

18300401100 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 18300401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28695155580).

18300401100 is an abundant number, since it is smaller than the sum of its proper divisors (39089910060).

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

18300401100 is a wasteful number, since it uses less digits than its factorization.

18300401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 18300401100 its reverse (110400381), we get a palindrome (18410801481).

The spelling of 18300401100 in words is "eighteen billion, three hundred million, four hundred one thousand, one hundred".