100231200 has 108 divisors (see below), whose sum is σ = 353465658. Its totient is φ = 26726400.

The previous prime is 100231193. The next prime is 100231207. The reversal of 100231200 is 2132001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100231193) and next prime (100231207).

It can be written as a sum of positive squares in 3 ways, for example, as 78216336 + 22014864 = 8844^2 + 4692^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100231207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 240 + ... + 14160.

Almost surely, 2^100231200 is an apocalyptic number.

100231200 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 100231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176732829).

100231200 is an abundant number, since it is smaller than the sum of its proper divisors (253234458).

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

100231200 is a wasteful number, since it uses less digits than its factorization.

100231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13947 (or 13931 counting only the distinct ones).

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

The square root of 100231200 is about 10011.5533260329. The cubic root of 100231200 is about 464.5163198177.

Adding to 100231200 its reverse (2132001), we get a palindrome (102363201).

The spelling of 100231200 in words is "one hundred million, two hundred thirty-one thousand, two hundred".