100330100 has 72 divisors (see below), whose sum is σ = 237984768. Its totient is φ = 36489600.

The previous prime is 100330099. The next prime is 100330123. The reversal of 100330100 is 1033001.

It is a super-2 number, since 2×100330100² = 20132257932020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91757 + ... + 92843.

It is an arithmetic number, because the mean of its divisors is an integer number (3305344).

Almost surely, 2^100330100 is an apocalyptic number.

100330100 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 100330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118992384).

100330100 is an abundant number, since it is smaller than the sum of its proper divisors (137654668).

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

100330100 is a wasteful number, since it uses less digits than its factorization.

100330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 100330100 is about 10016.4914016835. The cubic root of 100330100 is about 464.6690519083.

Adding to 100330100 its reverse (1033001), we get a palindrome (101363101).

The spelling of 100330100 in words is "one hundred million, three hundred thirty thousand, one hundred".