101691 has 6 divisors (see below), whose sum is σ = 146900. Its totient is φ = 67788.

The previous prime is 101681. The next prime is 101693. The reversal of 101691 is 196101.

101691 = 14² + 15² + ... + 67².

It is not a de Polignac number, because 101691 - 2⁶ = 101627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101693) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5641 + ... + 5658.

2¹⁰¹⁶⁹¹ is an apocalyptic number.

101691 is a deficient number, since it is larger than the sum of its proper divisors (45209).

101691 is a wasteful number, since it uses less digits than its factorization.

101691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11305 (or 11302 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 101691 is about 318.8902632568. The cubic root of 101691 is about 46.6760582006.

Adding to 101691 its reverse (196101), we get a palindrome (297792).

The spelling of 101691 in words is "one hundred one thousand, six hundred ninety-one".