101409 has 16 divisors (see below), whose sum is σ = 168960. Its totient is φ = 52560.

The previous prime is 101399. The next prime is 101411. The reversal of 101409 is 904101.

It is not a de Polignac number, because 101409 - 2⁵ = 101377 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (10560).

2¹⁰¹⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

101409 is a deficient number, since it is larger than the sum of its proper divisors (67551).

101409 is a wasteful number, since it uses less digits than its factorization.

101409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 101409 is about 318.4477979198. The cubic root of 101409 is about 46.6328723587.

The spelling of 101409 in words is "one hundred one thousand, four hundred nine".