100137832 has 16 divisors (see below), whose sum is σ = 190404000. Its totient is φ = 49363440.

The previous prime is 100137827. The next prime is 100137833. The reversal of 100137832 is 238731001.

It is a junction number, because it is equal to n+sod(n) for n = 100137797 and 100137806.

It is not an unprimeable number, because it can be changed into a prime (100137833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87582 + ... + 88717.

It is an arithmetic number, because the mean of its divisors is an integer number (11900250).

Almost surely, 2^100137832 is an apocalyptic number.

It is an amenable number.

100137832 is a deficient number, since it is larger than the sum of its proper divisors (90266168).

100137832 is a wasteful number, since it uses less digits than its factorization.

100137832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176376 (or 176372 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 100137832 is about 10006.8892269276. The cubic root of 100137832 is about 464.3720386166.

Adding to 100137832 its reverse (238731001), we get a palindrome (338868833).

The spelling of 100137832 in words is "one hundred million, one hundred thirty-seven thousand, eight hundred thirty-two".