101008 has 20 divisors (see below), whose sum is σ = 200880. Its totient is φ = 49184.

The previous prime is 100999. The next prime is 101009. The reversal of 101008 is 800101.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 100985 and 101003.

It is not an unprimeable number, because it can be changed into a prime (101009) by changing a digit.

101008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 891 + ... + 997.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2¹⁰¹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

101008 is a deficient number, since it is larger than the sum of its proper divisors (99872).

101008 is a wasteful number, since it uses less digits than its factorization.

101008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101008 is about 317.8175577277. The cubic root of 101008 is about 46.5713246190.

Adding to 101008 its reverse (800101), we get a palindrome (901109).

The spelling of 101008 in words is "one hundred one thousand, eight".