100632144 has 40 divisors (see below), whose sum is σ = 260851360. Its totient is φ = 33429888.

The previous prime is 100632143. The next prime is 100632149. The reversal of 100632144 is 441236001.

It is a self number, because there is not a number n which added to its sum of digits gives 100632144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100632143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11322 + ... + 18150.

It is an arithmetic number, because the mean of its divisors is an integer number (6521284).

Almost surely, 2^100632144 is an apocalyptic number.

It is an amenable number.

100632144 is an abundant number, since it is smaller than the sum of its proper divisors (160219216).

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

100632144 is a wasteful number, since it uses less digits than its factorization.

100632144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7147 (or 7141 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 100632144 is about 10031.5574065047. The cubic root of 100632144 is about 465.1348805159.

Adding to 100632144 its reverse (441236001), we get a palindrome (541868145).

The spelling of 100632144 in words is "one hundred million, six hundred thirty-two thousand, one hundred forty-four".