1100100090 has 64 divisors (see below), whose sum is σ = 2803527936. Its totient is φ = 275315712.

The previous prime is 1100100083. The next prime is 1100100091. The reversal of 1100100090 is 900010011.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1100100091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187339 + ... + 193121.

It is an arithmetic number, because the mean of its divisors is an integer number (43805124).

Almost surely, 2^1100100090 is an apocalyptic number.

1100100090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100100090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401763968).

1100100090 is an abundant number, since it is smaller than the sum of its proper divisors (1703427846).

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

1100100090 is a wasteful number, since it uses less digits than its factorization.

1100100090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6183.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1100100090 is about 33167.7567827551. The cubic root of 1100100090 is about 1032.3114238755.

The spelling of 1100100090 in words is "one billion, one hundred million, one hundred thousand, ninety".