100003552 has 48 divisors (see below), whose sum is σ = 219808512. Its totient is φ = 44392320.

The previous prime is 100003549. The next prime is 100003559. The reversal of 100003552 is 255300001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100003559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11833 + ... + 18439.

It is an arithmetic number, because the mean of its divisors is an integer number (4579344).

Almost surely, 2^100003552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100003552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109904256).

100003552 is an abundant number, since it is smaller than the sum of its proper divisors (119804960).

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

100003552 is a wasteful number, since it uses less digits than its factorization.

100003552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6671 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 100003552 is about 10000.1775984229. The cubic root of 100003552 is about 464.1643789374.

Adding to 100003552 its reverse (255300001), we get a palindrome (355303553).

The spelling of 100003552 in words is "one hundred million, three thousand, five hundred fifty-two".