100430200 has 144 divisors (see below), whose sum is σ = 267873480. Its totient is φ = 34801920.

The previous prime is 100430189. The next prime is 100430201. The reversal of 100430200 is 2034001.

100430200 = T₂₂₆ + T₂₂₇ + ... + T₈₄₉.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100430201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 938547 + ... + 938653.

Almost surely, 2^100430200 is an apocalyptic number.

100430200 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 100430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133936740).

100430200 is an abundant number, since it is smaller than the sum of its proper divisors (167443280).

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

100430200 is a wasteful number, since it uses less digits than its factorization.

100430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

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

The square root of 100430200 is about 10021.4869156229. The cubic root of 100430200 is about 464.8235349988.

Adding to 100430200 its reverse (2034001), we get a palindrome (102464201).

The spelling of 100430200 in words is "one hundred million, four hundred thirty thousand, two hundred".