1090980900 has 135 divisors (see below), whose sum is σ = 3546191649. Its totient is φ = 290135520.

The previous prime is 1090980833. The next prime is 1090980901. The reversal of 1090980900 is 90890901.

The square root of 1090980900 is 33030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 392753124 + 698227776 = 19818^2 + 26424^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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 (1090980901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2972517 + ... + 2972883.

Almost surely, 2^1090980900 is an apocalyptic number.

1090980900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1090980900 is the 33030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090980900

1090980900 is an abundant number, since it is smaller than the sum of its proper divisors (2455210749).

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

1090980900 is an equidigital number, since it uses as much as digits as its factorization.

1090980900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The cubic root of 1090980900 is about 1029.4510852816.

Multiplying 1090980900 by its sum of digits (36), we get a square (39275312400 = 198180²).

1090980900 divided by its sum of digits (36) gives a square (30305025 = 5505²).

It can be divided in two parts, 10909 and 80900, that added together give a square (91809 = 303²).

The spelling of 1090980900 in words is "one billion, ninety million, nine hundred eighty thousand, nine hundred".