90010210200 has 192 divisors, whose sum is σ = 294050822400. Its totient is φ = 22731456000.

The previous prime is 90010210193. The next prime is 90010210201. The reversal of 90010210200 is 201201009.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 90010210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90010210201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1361511 + ... + 1426089.

It is an arithmetic number, because the mean of its divisors is an integer number (1531514700).

Almost surely, 2^90010210200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90010210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147025411200).

90010210200 is an abundant number, since it is smaller than the sum of its proper divisors (204040612200).

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

90010210200 is a wasteful number, since it uses less digits than its factorization.

90010210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64722 (or 64713 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 90010210200 its reverse (201201009), we get a palindrome (90211411209).

The spelling of 90010210200 in words is "ninety billion, ten million, two hundred ten thousand, two hundred".