101608 has 16 divisors (see below), whose sum is σ = 205380. Its totient is φ = 46848.

The previous prime is 101603. The next prime is 101611. The reversal of 101608 is 806101.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 484 = 318^2 + 22^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101591 and 101600.

It is not an unprimeable number, because it can be changed into a prime (101603) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 385 + ... + 592.

2¹⁰¹⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

101608 is an abundant number, since it is smaller than the sum of its proper divisors (103772).

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

101608 is a wasteful number, since it uses less digits than its factorization.

101608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101608 is about 318.7600978793. The cubic root of 101608 is about 46.6633557742.

Adding to 101608 its reverse (806101), we get a palindrome (907709).

The spelling of 101608 in words is "one hundred one thousand, six hundred eight".