100352200 has 72 divisors (see below), whose sum is σ = 252732150. Its totient is φ = 37040640.

The previous prime is 100352183. The next prime is 100352201. The reversal of 100352200 is 2253001.

It can be written as a sum of positive squares in 9 ways, for example, as 22524516 + 77827684 = 4746^2 + 8822^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100352201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32316 + ... + 35284.

Almost surely, 2^100352200 is an apocalyptic number.

100352200 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 100352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126366075).

100352200 is an abundant number, since it is smaller than the sum of its proper divisors (152379950).

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

100352200 is a wasteful number, since it uses less digits than its factorization.

100352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 100352200 is about 10017.5945216404. The cubic root of 100352200 is about 464.7031674001.

It can be divided in two parts, 100352 and 200, that multiplied together give a square (20070400 = 4480²).

The spelling of 100352200 in words is "one hundred million, three hundred fifty-two thousand, two hundred".