100023400 has 48 divisors (see below), whose sum is σ = 233383500. Its totient is φ = 39866880.

The previous prime is 100023397. The next prime is 100023449. The reversal of 100023400 is 4320001.

It can be written as a sum of positive squares in 6 ways, for example, as 65707236 + 34316164 = 8106^2 + 5858^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 69084 + ... + 70516.

Almost surely, 2^100023400 is an apocalyptic number.

100023400 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 100023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116691750).

100023400 is an abundant number, since it is smaller than the sum of its proper divisors (133360100).

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

100023400 is a wasteful number, since it uses less digits than its factorization.

100023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 100023400 is about 10001.1699315630. The cubic root of 100023400 is about 464.1950849306.

Adding to 100023400 its reverse (4320001), we get a palindrome (104343401).

The spelling of 100023400 in words is "one hundred million, twenty-three thousand, four hundred".