100225332 has 36 divisors (see below), whose sum is σ = 258132420. Its totient is φ = 32777472.

The previous prime is 100225327. The next prime is 100225339. The reversal of 100225332 is 233522001.

It can be written as a sum of positive squares in 2 ways, for example, as 31069476 + 69155856 = 5574^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100225339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24357 + ... + 28172.

It is an arithmetic number, because the mean of its divisors is an integer number (7170345).

Almost surely, 2^100225332 is an apocalyptic number.

100225332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100225332 is an abundant number, since it is smaller than the sum of its proper divisors (157907088).

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

100225332 is a wasteful number, since it uses less digits than its factorization.

100225332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52592 (or 52587 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 100225332 is about 10011.2602603269. The cubic root of 100225332 is about 464.5072546598.

Adding to 100225332 its reverse (233522001), we get a palindrome (333747333).

The spelling of 100225332 in words is "one hundred million, two hundred twenty-five thousand, three hundred thirty-two".