1006900 has 18 divisors (see below), whose sum is σ = 2185190. Its totient is φ = 402720.

The previous prime is 1006897. The next prime is 1006933. The reversal of 1006900 is 96001.

It can be written as a sum of positive squares in 3 ways, for example, as 14884 + 992016 = 122^2 + 996^2 .

It is a super-2 number, since 2×1006900² = 2027695220000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4935 + ... + 5134.

2^1006900 is an apocalyptic number.

1006900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006900 is an abundant number, since it is smaller than the sum of its proper divisors (1178290).

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

1006900 is a wasteful number, since it uses less digits than its factorization.

1006900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10083 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1006900 is about 1003.4440691937. Note that the first 3 decimals coincide. The cubic root of 1006900 is about 100.2294730186.

The spelling of 1006900 in words is "one million, six thousand, nine hundred".