101405 has 8 divisors (see below), whose sum is σ = 128952. Its totient is φ = 76288.

The previous prime is 101399. The next prime is 101411. The reversal of 101405 is 504101.

It is an interprime number because it is at equal distance from previous prime (101399) and next prime (101411).

It can be written as a sum of positive squares in 4 ways, for example, as 21316 + 80089 = 146^2 + 283^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101405 - 2⁶ = 101341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (16119).

2¹⁰¹⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

101405 is a deficient number, since it is larger than the sum of its proper divisors (27547).

101405 is a wasteful number, since it uses less digits than its factorization.

101405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 101405 is about 318.4415173937. The cubic root of 101405 is about 46.6322592180.

Adding to 101405 its reverse (504101), we get a palindrome (605506).

The spelling of 101405 in words is "one hundred one thousand, four hundred five".