1000100 has 36 divisors (see below), whose sum is σ = 2216004. Its totient is φ = 391680.

The previous prime is 1000099. The next prime is 1000117. The reversal of 1000100 is 10001.

It can be written as a sum of positive squares in 6 ways, for example, as 4096 + 996004 = 64^2 + 998^2 .

It is a sliding number, since 1000100 = 100 + 1000000 and 1/100 + 1/1000000 = 0.01000100.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7232 + ... + 7368.

2^1000100 is an apocalyptic number.

1000100 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 1000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108002).

1000100 is an abundant number, since it is smaller than the sum of its proper divisors (1215904).

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

1000100 is a wasteful number, since it uses less digits than its factorization.

1000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 1000100 is about 1000.0499987501. The cubic root of 1000100 is about 100.0033332222.

Adding to 1000100 its reverse (10001), we get a palindrome (1010101).

Subtracting from 1000100 its reverse (10001), we obtain a palindrome (990099).

Multiplying 1000100 by its reverse (10001), we get a square (10002000100 = 100010²).

1000100 divided by its reverse (10001) gives a square (100 = 10²).

The spelling of 1000100 in words is "one million, one hundred", and thus it is an aban number.