90102449700 has 108 divisors (see below), whose sum is σ = 299034180900. Its totient is φ = 22613944320.

The previous prime is 90102449687. The next prime is 90102449707. The reversal of 90102449700 is 794420109.

It can be written as a sum of positive squares in 6 ways, for example, as 1522404324 + 88580045376 = 39018^2 + 297624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90102449707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2929225 + ... + 2959824.

Almost surely, 2^90102449700 is an apocalyptic number.

90102449700 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90102449700 is an abundant number, since it is smaller than the sum of its proper divisors (208931731200).

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

90102449700 is a wasteful number, since it uses less digits than its factorization.

90102449700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889086 (or 5889076 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 90102449700 its reverse (794420109), we get a palindrome (90896869809).

The spelling of 90102449700 in words is "ninety billion, one hundred two million, four hundred forty-nine thousand, seven hundred".