1006100 has 18 divisors (see below), whose sum is σ = 2183454. Its totient is φ = 402400.

The previous prime is 1006091. The next prime is 1006123. The reversal of 1006100 is 16001.

1006100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 80656 + 925444 = 284^2 + 962^2 .

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, 4931 + ... + 5130.

It is an arithmetic number, because the mean of its divisors is an integer number (121303).

2^1006100 is an apocalyptic number.

1006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006100 is an abundant number, since it is smaller than the sum of its proper divisors (1177354).

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

1006100 is a wasteful number, since it uses less digits than its factorization.

1006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1006100 is about 1003.0453628825. The cubic root of 1006100 is about 100.2029212843.

Subtracting from 1006100 its reverse (16001), we obtain a palindrome (990099).

The spelling of 1006100 in words is "one million, six thousand, one hundred".