90808100 has 18 divisors (see below), whose sum is σ = 197053794. Its totient is φ = 36323200.

The previous prime is 90808097. The next prime is 90808103. The reversal of 90808100 is 180809.

It is an interprime number because it is at equal distance from previous prime (90808097) and next prime (90808103).

It can be written as a sum of positive squares in 3 ways, for example, as 17123044 + 73685056 = 4138^2 + 8584^2 .

It is a super-2 number, since 2×90808100² = 16492222051220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90808100.

It is not an unprimeable number, because it can be changed into a prime (90808103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 453941 + ... + 454140.

It is an arithmetic number, because the mean of its divisors is an integer number (10947433).

Almost surely, 2^90808100 is an apocalyptic number.

It is an amenable number.

90808100 is an abundant number, since it is smaller than the sum of its proper divisors (106245694).

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

90808100 is a wasteful number, since it uses less digits than its factorization.

90808100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908095 (or 908088 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 90808100 is about 9529.3284128526. The cubic root of 90808100 is about 449.4777480392.

Adding to 90808100 its reverse (180809), we get a palindrome (90988909).

The spelling of 90808100 in words is "ninety million, eight hundred eight thousand, one hundred".