18125100 has 216 divisors, whose sum is σ = 68276880. Its totient is φ = 4112640.

The previous prime is 18125089. The next prime is 18125101. The reversal of 18125100 is 152181.

It is a super-3 number, since 3×18125100³ (a number of 23 digits) contains 333 as substring.

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 (18125101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132232 + ... + 132368.

Almost surely, 2^18125100 is an apocalyptic number.

18125100 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 18125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34138440).

18125100 is an abundant number, since it is smaller than the sum of its proper divisors (50151780).

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

18125100 is a wasteful number, since it uses less digits than its factorization.

18125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 18125100 is about 4257.3583358698. The cubic root of 18125100 is about 262.6798767123.

Adding to 18125100 its reverse (152181), we get a palindrome (18277281).

It can be divided in two parts, 18125 and 100, that added together give a square (18225 = 135²).

The spelling of 18125100 in words is "eighteen million, one hundred twenty-five thousand, one hundred".