100023300 has 216 divisors, whose sum is σ = 345019584. Its totient is φ = 24088320.

The previous prime is 100023299. The next prime is 100023311. The reversal of 100023300 is 3320001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 971049 + ... + 971151.

Almost surely, 2^100023300 is an apocalyptic number.

100023300 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 100023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172509792).

100023300 is an abundant number, since it is smaller than the sum of its proper divisors (244996284).

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

100023300 is a wasteful number, since it uses less digits than its factorization.

100023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 100023300 is about 10001.1649321467. The cubic root of 100023300 is about 464.1949302351.

Adding to 100023300 its reverse (3320001), we get a palindrome (103343301).

The spelling of 100023300 in words is "one hundred million, twenty-three thousand, three hundred".