9905490100 has 36 divisors (see below), whose sum is σ = 23448999168. Its totient is φ = 3601996000.

The previous prime is 9905490071. The next prime is 9905490157. The reversal of 9905490100 is 10945099.

It is a self number, because there is not a number n which added to its sum of digits gives 9905490100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4501396 + ... + 4503595.

It is an arithmetic number, because the mean of its divisors is an integer number (651361088).

Almost surely, 2^9905490100 is an apocalyptic number.

It is an amenable number.

9905490100 is an abundant number, since it is smaller than the sum of its proper divisors (13543509068).

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

9905490100 is a wasteful number, since it uses less digits than its factorization.

9905490100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9005016 (or 9005009 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 9905490100 is about 99526.3286773907. The cubic root of 9905490100 is about 2147.6260149585.

It can be divided in two parts, 9905 and 490100, that added together give a palindrome (500005).

The spelling of 9905490100 in words is "nine billion, nine hundred five million, four hundred ninety thousand, one hundred".