100023210 has 144 divisors (see below), whose sum is σ = 311202216. Its totient is φ = 22208256.

The previous prime is 100023139. The next prime is 100023221. The reversal of 100023210 is 12320001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68112009 + 31911201 = 8253^2 + 5649^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100023192 and 100023201.

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 71 ways as a sum of consecutive naturals, for example, 162864 + ... + 163476.

Almost surely, 2^100023210 is an apocalyptic number.

100023210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100023210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155601108).

100023210 is an abundant number, since it is smaller than the sum of its proper divisors (211179006).

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

100023210 is a wasteful number, since it uses less digits than its factorization.

100023210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100023210 is about 10001.1604326698. The cubic root of 100023210 is about 464.1947910090.

Adding to 100023210 its reverse (12320001), we get a palindrome (112343211).

The spelling of 100023210 in words is "one hundred million, twenty-three thousand, two hundred ten".