101818100 has 72 divisors (see below), whose sum is σ = 236656728. Its totient is φ = 37888000.

The previous prime is 101818039. The next prime is 101818103. The reversal of 101818100 is 1818101.

It can be written as a sum of positive squares in 12 ways, for example, as 131044 + 101687056 = 362^2 + 10084^2 .

It is a super-2 number, since 2×101818100² = 20733850975220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101818103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171404 + ... + 171996.

It is an arithmetic number, because the mean of its divisors is an integer number (3286899).

Almost surely, 2^101818100 is an apocalyptic number.

101818100 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 101818100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118328364).

101818100 is an abundant number, since it is smaller than the sum of its proper divisors (134838628).

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

101818100 is a wasteful number, since it uses less digits than its factorization.

101818100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

The square root of 101818100 is about 10090.4955279709. The cubic root of 101818100 is about 466.9549635829.

101818100 divided by its sum of digits (20) gives a palindrome (5090905).

Subtracting from 101818100 its reverse (1818101), we obtain a palindrome (99999999).

It can be divided in two parts, 10181 and 8100, that added together give a palindrome (18281).

The spelling of 101818100 in words is "one hundred one million, eight hundred eighteen thousand, one hundred".