100000100 has 36 divisors (see below), whose sum is σ = 219170868. Its totient is φ = 39600000.

The previous prime is 100000081. The next prime is 100000123. The reversal of 100000100 is 1000001.

It can be written as a sum of positive squares in 6 ways, for example, as 18386944 + 81613156 = 4288^2 + 9034^2 .

It is a sliding number, since 100000100 = 100 + 100000000 and 1/100 + 1/100000000 = 0.0100000100.

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, 5150 + ... + 15050.

Almost surely, 2^100000100 is an apocalyptic number.

100000100 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 100000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109585434).

100000100 is an abundant number, since it is smaller than the sum of its proper divisors (119170768).

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

100000100 is a wasteful number, since it uses less digits than its factorization.

100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 10009 counting only the distinct ones).

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

The square root of 100000100 is about 10000.0049999988. The cubic root of 100000100 is about 464.1590380809.

Adding to 100000100 its reverse (1000001), we get a palindrome (101000101).

Subtracting from 100000100 its reverse (1000001), we obtain a palindrome (99000099).

Multiplying 100000100 by its reverse (1000001), we get a square (100000200000100 = 10000010²).

100000100 divided by its reverse (1000001) gives a square (100 = 10²).

The spelling of 100000100 in words is "one hundred million, one hundred", and thus it is an aban number.