101006405 has 8 divisors (see below), whose sum is σ = 121398912. Its totient is φ = 80677648.

The previous prime is 101006359. The next prime is 101006417. The reversal of 101006405 is 504600101.

It is a happy number.

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 101006405 - 2⁶ = 101006341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12377 + ... + 18846.

It is an arithmetic number, because the mean of its divisors is an integer number (15174864).

Almost surely, 2^101006405 is an apocalyptic number.

It is an amenable number.

101006405 is a deficient number, since it is larger than the sum of its proper divisors (20392507).

101006405 is an equidigital number, since it uses as much as digits as its factorization.

101006405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31875.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101006405 is about 10050.1942767292. The cubic root of 101006405 is about 465.7107948449.

Adding to 101006405 its reverse (504600101), we get a palindrome (605606506).

The spelling of 101006405 in words is "one hundred one million, six thousand, four hundred five".