90896220100 has 243 divisors, whose sum is σ = 236643992487. Its totient is φ = 30216533760.

The previous prime is 90896220071. The next prime is 90896220101. The reversal of 90896220100 is 102269809.

The square root of 90896220100 is 301490.

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 497379204 + 90398840896 = 22302^2 + 300664^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90896220100.

It is not an unprimeable number, because it can be changed into a prime (90896220101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1245153664 + ... + 1245153736.

Almost surely, 2^90896220100 is an apocalyptic number.

90896220100 is the 301490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90896220100

90896220100 is an abundant number, since it is smaller than the sum of its proper divisors (145747772387).

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

90896220100 is a wasteful number, since it uses less digits than its factorization.

90896220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

Adding to 90896220100 its reverse (102269809), we get a palindrome (90998489909).

The spelling of 90896220100 in words is "ninety billion, eight hundred ninety-six million, two hundred twenty thousand, one hundred".