1085300 has 18 divisors (see below), whose sum is σ = 2355318. Its totient is φ = 434080.

The previous prime is 1085269. The next prime is 1085309. The reversal of 1085300 is 35801.

It can be written as a sum of positive squares in 3 ways, for example, as 77284 + 1008016 = 278^2 + 1004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5327 + ... + 5526.

It is an arithmetic number, because the mean of its divisors is an integer number (130851).

2^1085300 is an apocalyptic number.

1085300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085300 is an abundant number, since it is smaller than the sum of its proper divisors (1270018).

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

1085300 is a wasteful number, since it uses less digits than its factorization.

1085300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10867 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1085300 is about 1041.7773274553. Note that the first 3 decimals coincide. The cubic root of 1085300 is about 102.7661139809.

The spelling of 1085300 in words is "one million, eighty-five thousand, three hundred".