1100009900 has 72 divisors (see below), whose sum is σ = 2613676464. Its totient is φ = 398521600.

The previous prime is 1100009899. The next prime is 1100009903. The reversal of 1100009900 is 99000011.

It is a Harshad number since it is a multiple of its sum of digits (20).

1100009900 is a modest number, since divided by 9900 gives 1100 as remainder.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1100009903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320594 + ... + 324006.

It is an arithmetic number, because the mean of its divisors is an integer number (36301062).

Almost surely, 2^1100009900 is an apocalyptic number.

1100009900 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 1100009900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306838232).

1100009900 is an abundant number, since it is smaller than the sum of its proper divisors (1513666564).

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

1100009900 is a wasteful number, since it uses less digits than its factorization.

1100009900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 1100009900 is about 33166.3971513338. The cubic root of 1100009900 is about 1032.2832122874.

Adding to 1100009900 its reverse (99000011), we get a palindrome (1199009911).

It can be divided in two parts, 110000 and 9900, that multiplied together give a square (1089000000 = 33000²).

The spelling of 1100009900 in words is "one billion, one hundred million, nine thousand, nine hundred".