105111387 has 12 divisors (see below), whose sum is σ = 152988264. Its totient is φ = 69538560.

The previous prime is 105111373. The next prime is 105111389. The reversal of 105111387 is 783111501.

105111387 is a `hidden beast` number, since 10 + 511 + 138 + 7 = 666.

It is not a de Polignac number, because 105111387 - 2¹⁰ = 105110363 is a prime.

It is a super-2 number, since 2×105111387² = 22096807354127538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105111387.

It is not an unprimeable number, because it can be changed into a prime (105111389) 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 11 ways as a sum of consecutive naturals, for example, 43398 + ... + 45755.

It is an arithmetic number, because the mean of its divisors is an integer number (12749022).

Almost surely, 2^105111387 is an apocalyptic number.

105111387 is a deficient number, since it is larger than the sum of its proper divisors (47876877).

105111387 is a wasteful number, since it uses less digits than its factorization.

105111387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89290 (or 89287 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 105111387 is about 10252.3844543599. The cubic root of 105111387 is about 471.9361612287.

Adding to 105111387 its reverse (783111501), we get a palindrome (888222888).

The spelling of 105111387 in words is "one hundred five million, one hundred eleven thousand, three hundred eighty-seven".