100103632 has 20 divisors (see below), whose sum is σ = 198682596. Its totient is φ = 48830720.

The previous prime is 100103617. The next prime is 100103639. The reversal of 100103632 is 236301001.

It can be written as a sum of positive squares in 2 ways, for example, as 22240656 + 77862976 = 4716^2 + 8824^2 .

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 (100103639) 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 3 ways as a sum of consecutive naturals, for example, 75643 + ... + 76954.

Almost surely, 2^100103632 is an apocalyptic number.

It is an amenable number.

100103632 is a deficient number, since it is larger than the sum of its proper divisors (98578964).

100103632 is a wasteful number, since it uses less digits than its factorization.

100103632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152646 (or 152640 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 100103632 is about 10005.1802582462. The cubic root of 100103632 is about 464.3191670503.

Adding to 100103632 its reverse (236301001), we get a palindrome (336404633).

The spelling of 100103632 in words is "one hundred million, one hundred three thousand, six hundred thirty-two".