10770900 has 144 divisors (see below), whose sum is σ = 37330944. Its totient is φ = 2344320.

The previous prime is 10770889. The next prime is 10770937. The reversal of 10770900 is 907701.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 48189 + ... + 48411.

Almost surely, 2^10770900 is an apocalyptic number.

10770900 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 10770900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665472).

10770900 is an abundant number, since it is smaller than the sum of its proper divisors (26560044).

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

10770900 is a wasteful number, since it uses less digits than its factorization.

10770900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 10770900 is about 3281.9049346378. The cubic root of 10770900 is about 220.8431829791.

The spelling of 10770900 in words is "ten million, seven hundred seventy thousand, nine hundred".