105408999 has 16 divisors (see below), whose sum is σ = 157548000. Its totient is φ = 69648768.

The previous prime is 105408971. The next prime is 105409013. The reversal of 105408999 is 999804501.

105408999 is a `hidden beast` number, since 10 + 540 + 8 + 9 + 99 = 666.

It is not a de Polignac number, because 105408999 - 2¹³ = 105400807 is a prime.

It is a super-2 number, since 2×105408999² = 22222114140364002, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105408299) 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, 14224 + ... + 20325.

It is an arithmetic number, because the mean of its divisors is an integer number (9846750).

Almost surely, 2^105408999 is an apocalyptic number.

105408999 is a deficient number, since it is larger than the sum of its proper divisors (52139001).

105408999 is a wasteful number, since it uses less digits than its factorization.

105408999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34671 (or 34665 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 105408999 is about 10266.8884770411. Note that the first 3 decimals coincide. The cubic root of 105408999 is about 472.3811542872.

The spelling of 105408999 in words is "one hundred five million, four hundred eight thousand, nine hundred ninety-nine".