105900057 has 12 divisors (see below), whose sum is σ = 153114624. Its totient is φ = 70531800.

The previous prime is 105900043. The next prime is 105900077. The reversal of 105900057 is 750009501.

It is not a de Polignac number, because 105900057 - 2¹⁰ = 105899033 is a prime.

It is a super-2 number, since 2×105900057² = 22429644145206498, 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 105900057.

It is not an unprimeable number, because it can be changed into a prime (105900037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5248 + ... + 15470.

It is an arithmetic number, because the mean of its divisors is an integer number (12759552).

Almost surely, 2^105900057 is an apocalyptic number.

It is an amenable number.

105900057 is a deficient number, since it is larger than the sum of its proper divisors (47214567).

105900057 is a wasteful number, since it uses less digits than its factorization.

105900057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11380 (or 11377 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 105900057 is about 10290.7753352213. The cubic root of 105900057 is about 473.1135625369.

Adding to 105900057 its reverse (750009501), we get a palindrome (855909558).

The spelling of 105900057 in words is "one hundred five million, nine hundred thousand, fifty-seven".