1101090900 has 288 divisors, whose sum is σ = 4000243968. Its totient is φ = 227635200.

The previous prime is 1101090857. The next prime is 1101090911. The reversal of 1101090900 is 90901011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1446520 + ... + 1447280.

It is an arithmetic number, because the mean of its divisors is an integer number (13889736).

Almost surely, 2^1101090900 is an apocalyptic number.

1101090900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101090900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000121984).

1101090900 is an abundant number, since it is smaller than the sum of its proper divisors (2899153068).

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

1101090900 is a wasteful number, since it uses less digits than its factorization.

1101090900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

The square root of 1101090900 is about 33182.6897643937. The cubic root of 1101090900 is about 1032.6212494918.

Adding to 1101090900 its reverse (90901011), we get a palindrome (1191991911).

The spelling of 1101090900 in words is "one billion, one hundred one million, ninety thousand, nine hundred".