105406145 has 24 divisors (see below), whose sum is σ = 138787200. Its totient is φ = 76804416.

The previous prime is 105406141. The next prime is 105406151. The reversal of 105406145 is 541604501.

It is not a de Polignac number, because 105406145 - 2² = 105406141 is a prime.

It is a super-3 number, since 3×105406145³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105406141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65966 + ... + 67544.

It is an arithmetic number, because the mean of its divisors is an integer number (5782800).

Almost surely, 2^105406145 is an apocalyptic number.

It is an amenable number.

105406145 is a deficient number, since it is larger than the sum of its proper divisors (33381055).

105406145 is a wasteful number, since it uses less digits than its factorization.

105406145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 105406145 is about 10266.7494855967. The cubic root of 105406145 is about 472.3768909321.

The spelling of 105406145 in words is "one hundred five million, four hundred six thousand, one hundred forty-five".