2033108100 has 189 divisors, whose sum is σ = 6654587317. Its totient is φ = 538915680.

The previous prime is 2033108057. The next prime is 2033108107. The reversal of 2033108100 is 18013302.

The square root of 2033108100 is 45090.

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

It can be written as a sum of positive squares in only one way, i.e., 731918916 + 1301189184 = 27054^2 + 36072^2 .

It is a super-2 number, since 2×2033108100² = 8267057092571220000, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2033108107) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12174217 + ... + 12174383.

Almost surely, 2^2033108100 is an apocalyptic number.

2033108100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2033108100 is the 45090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033108100

2033108100 is an abundant number, since it is smaller than the sum of its proper divisors (4621479217).

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

2033108100 is an equidigital number, since it uses as much as digits as its factorization.

2033108100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 2033108100 is about 1266.8353014940.

Multiplying 2033108100 by its product of nonzero digits (144), we get a square (292767566400 = 541080²).

The spelling of 2033108100 in words is "two billion, thirty-three million, one hundred eight thousand, one hundred".