100024200 has 96 divisors (see below), whose sum is σ = 344546400. Its totient is φ = 26671680.

The previous prime is 100024193. The next prime is 100024207. The reversal of 100024200 is 2420001.

It is an interprime number because it is at equal distance from previous prime (100024193) and next prime (100024207).

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

It is not an unprimeable number, because it can be changed into a prime (100024207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3862 + ... + 14661.

It is an arithmetic number, because the mean of its divisors is an integer number (3589025).

Almost surely, 2^100024200 is an apocalyptic number.

100024200 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 100024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172273200).

100024200 is an abundant number, since it is smaller than the sum of its proper divisors (244522200).

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

100024200 is a wasteful number, since it uses less digits than its factorization.

100024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18548 (or 18533 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 100024200 is about 10001.2099268039. The cubic root of 100024200 is about 464.1963224913.

Adding to 100024200 its reverse (2420001), we get a palindrome (102444201).

It can be divided in two parts, 1000 and 24200, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 100024200 in words is "one hundred million, twenty-four thousand, two hundred".