10980900 has 216 divisors, whose sum is σ = 41559840. Its totient is φ = 2479680.

The previous prime is 10980889. The next prime is 10980919. The reversal of 10980900 is 908901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132259 + ... + 132341.

Almost surely, 2^10980900 is an apocalyptic number.

10980900 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 10980900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

10980900 is an abundant number, since it is smaller than the sum of its proper divisors (30578940).

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

10980900 is a wasteful number, since it uses less digits than its factorization.

10980900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 10980900 is about 3313.7441059925. The cubic root of 10980900 is about 222.2692132108.

The spelling of 10980900 in words is "ten million, nine hundred eighty thousand, nine hundred".