10116405 has 24 divisors (see below), whose sum is σ = 18885048. Its totient is φ = 4980096.

The previous prime is 10116391. The next prime is 10116409. The reversal of 10116405 is 50461101.

10116405 is a `hidden beast` number, since 10 + 11 + 640 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 269361 + 9847044 = 519^2 + 3138^2 .

It is not a de Polignac number, because 10116405 - 2⁵ = 10116373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8062 + ... + 9231.

It is an arithmetic number, because the mean of its divisors is an integer number (786877).

Almost surely, 2^10116405 is an apocalyptic number.

10116405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10116405 is a deficient number, since it is larger than the sum of its proper divisors (8768643).

10116405 is a wasteful number, since it uses less digits than its factorization.

10116405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17317 (or 17314 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10116405 is about 3180.6296546439. The cubic root of 10116405 is about 216.2762027345.

Adding to 10116405 its reverse (50461101), we get a palindrome (60577506).

The spelling of 10116405 in words is "ten million, one hundred sixteen thousand, four hundred five".