101632 has 18 divisors (see below), whose sum is σ = 203378. Its totient is φ = 50688.

The previous prime is 101627. The next prime is 101641. The reversal of 101632 is 236101.

101632 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 9216 = 304^2 + 96^2 .

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

It is a congruent number.

It is an unprimeable number.

101632 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58 + ... + 454.

2¹⁰¹⁶³² 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 101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101689).

101632 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

101632 is an frugal number, since it uses more digits than its factorization.

101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101632 is about 318.7977415227. The cubic root of 101632 is about 46.6670294756.

Adding to 101632 its reverse (236101), we get a palindrome (337733).

The spelling of 101632 in words is "one hundred one thousand, six hundred thirty-two".