105111125 has 36 divisors (see below), whose sum is σ = 153769356. Its totient is φ = 71526000.

The previous prime is 105111121. The next prime is 105111133. The reversal of 105111125 is 521111501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3363556 + 101747569 = 1834^2 + 10087^2 .

It is not a de Polignac number, because 105111125 - 2² = 105111121 is a prime.

It is a super-2 number, since 2×105111125² = 22096697197531250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105111121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 802310 + ... + 802440.

It is an arithmetic number, because the mean of its divisors is an integer number (4271371).

Almost surely, 2^105111125 is an apocalyptic number.

It is an amenable number.

105111125 is a deficient number, since it is larger than the sum of its proper divisors (48658231).

105111125 is an frugal number, since it uses more digits than its factorization.

105111125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 17.

The square root of 105111125 is about 10252.3716768365. The cubic root of 105111125 is about 471.9357691133.

Adding to 105111125 its reverse (521111501), we get a palindrome (626222626).

The spelling of 105111125 in words is "one hundred five million, one hundred eleven thousand, one hundred twenty-five".