1086100 has 18 divisors (see below), whose sum is σ = 2357054. Its totient is φ = 434400.

The previous prime is 1086091. The next prime is 1086101. The reversal of 1086100 is 16801.

It can be written as a sum of positive squares in 3 ways, for example, as 41616 + 1044484 = 204^2 + 1022^2 .

It is a super-2 number, since 2×1086100² = 2359226420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5331 + ... + 5530.

2^1086100 is an apocalyptic number.

1086100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1086100 is an abundant number, since it is smaller than the sum of its proper divisors (1270954).

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

1086100 is a wasteful number, since it uses less digits than its factorization.

1086100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10875 (or 10868 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1086100 is about 1042.1612159354. The cubic root of 1086100 is about 102.7913582141.

The spelling of 1086100 in words is "one million, eighty-six thousand, one hundred".