105445125 has 64 divisors (see below), whose sum is σ = 197184000. Its totient is φ = 55598400.

The previous prime is 105445097. The next prime is 105445129. The reversal of 105445125 is 521544501.

105445125 is a `hidden beast` number, since 105 + 44 + 512 + 5 = 666.

It is not a de Polignac number, because 105445125 - 2⁶ = 105445061 is a prime.

It is a super-3 number, since 3×105445125³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105445129) 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 63 ways as a sum of consecutive naturals, for example, 529776 + ... + 529974.

It is an arithmetic number, because the mean of its divisors is an integer number (3081000).

Almost surely, 2^105445125 is an apocalyptic number.

105445125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105445125 is a deficient number, since it is larger than the sum of its proper divisors (91738875).

105445125 is a wasteful number, since it uses less digits than its factorization.

105445125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 105445125 is about 10268.6476714317. The cubic root of 105445125 is about 472.4351132868.

Adding to 105445125 its reverse (521544501), we get a palindrome (626989626).

It can be divided in two parts, 105445 and 125, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 105445125 in words is "one hundred five million, four hundred forty-five thousand, one hundred twenty-five".