101406 has 8 divisors (see below), whose sum is σ = 202824. Its totient is φ = 33800.

The previous prime is 101399. The next prime is 101411. The reversal of 101406 is 604101.

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

101406 is an admirable number.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 101391 and 101400.

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 101406.

It is an unprimeable number.

101406 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, 8445 + ... + 8456.

It is an arithmetic number, because the mean of its divisors is an integer number (25353).

2¹⁰¹⁴⁰⁶ is an apocalyptic number.

101406 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101406 is a wasteful number, since it uses less digits than its factorization.

101406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16906.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101406 is about 318.4430875368. The cubic root of 101406 is about 46.6324125047.

Adding to 101406 its reverse (604101), we get a palindrome (705507).

The spelling of 101406 in words is "one hundred one thousand, four hundred six".