101808100 has 27 divisors (see below), whose sum is σ = 221142747. Its totient is φ = 40682880.

The previous prime is 101808059. The next prime is 101808103. The reversal of 101808100 is 1808101.

The square root of 101808100 is 10090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11329956 + 90478144 = 3366^2 + 9512^2 .

It is a super-2 number, since 2×101808100² = 20729778451220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101808103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100396 + ... + 101404.

Almost surely, 2^101808100 is an apocalyptic number.

101808100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101808100 is the 10090-th square number.

It is an amenable number.

101808100 is an abundant number, since it is smaller than the sum of its proper divisors (119334647).

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

101808100 is an equidigital number, since it uses as much as digits as its factorization.

101808100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The cubic root of 101808100 is about 466.9396758540.

Multiplying 101808100 by its product of nonzero digits (64), we get a square (6515718400 = 80720²).

Subtracting from 101808100 its reverse (1808101), we obtain a palindrome (99999999).

It can be divided in two parts, 101 and 808100, that added together give a square (808201 = 899²).

The spelling of 101808100 in words is "one hundred one million, eight hundred eight thousand, one hundred".