101638 has 8 divisors (see below), whose sum is σ = 154440. Its totient is φ = 50160.

The previous prime is 101627. The next prime is 101641. The reversal of 101638 is 836101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

101638 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (19305).

2¹⁰¹⁶³⁸ is an apocalyptic number.

101638 is a deficient number, since it is larger than the sum of its proper divisors (52802).

101638 is an equidigital number, since it uses as much as digits as its factorization.

101638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 101638 is about 318.8071517391. The cubic root of 101638 is about 46.6679478106.

Adding to 101638 its reverse (836101), we get a palindrome (937739).

The spelling of 101638 in words is "one hundred one thousand, six hundred thirty-eight".