101349 has 6 divisors (see below), whose sum is σ = 146406. Its totient is φ = 67560.

The previous prime is 101347. The next prime is 101359. The reversal of 101349 is 943101.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 225 = 318^2 + 15^2 .

It is not a de Polignac number, because 101349 - 2¹ = 101347 is a prime.

101349 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101341) 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, 5622 + ... + 5639.

It is an arithmetic number, because the mean of its divisors is an integer number (24401).

2¹⁰¹³⁴⁹ is an apocalyptic number.

It is an amenable number.

101349 is a deficient number, since it is larger than the sum of its proper divisors (45057).

101349 is a wasteful number, since it uses less digits than its factorization.

101349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11267 (or 11264 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101349 is about 318.3535770178. The cubic root of 101349 is about 46.6236735554.

The spelling of 101349 in words is "one hundred one thousand, three hundred forty-nine".