105249645 has 64 divisors (see below), whose sum is σ = 202464000. Its totient is φ = 51694848.

The previous prime is 105249643. The next prime is 105249653. The reversal of 105249645 is 546942501.

105249645 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 4 + 9 + 645 = 666.

It is not a de Polignac number, because 105249645 - 2¹ = 105249643 is a prime.

It is a super-3 number, since 3×105249645³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105249643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94351 + ... + 95459.

It is an arithmetic number, because the mean of its divisors is an integer number (3163500).

Almost surely, 2^105249645 is an apocalyptic number.

105249645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105249645 is a deficient number, since it is larger than the sum of its proper divisors (97214355).

105249645 is a wasteful number, since it uses less digits than its factorization.

105249645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 105249645 is about 10259.1249626857. The cubic root of 105249645 is about 472.1429905875.

The spelling of 105249645 in words is "one hundred five million, two hundred forty-nine thousand, six hundred forty-five".