105151113 has 6 divisors (see below), whose sum is σ = 151884954. Its totient is φ = 70100736.

The previous prime is 105151093. The next prime is 105151141. The reversal of 105151113 is 311151501.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 50509449 = 7392^2 + 7107^2 .

It is not a de Polignac number, because 105151113 - 2¹⁶ = 105085577 is a prime.

It is a super-2 number, since 2×105151113² = 22113513130277538, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105151313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5841720 + ... + 5841737.

It is an arithmetic number, because the mean of its divisors is an integer number (25314159).

Almost surely, 2^105151113 is an apocalyptic number.

It is an amenable number.

105151113 is a deficient number, since it is larger than the sum of its proper divisors (46733841).

105151113 is a wasteful number, since it uses less digits than its factorization.

105151113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11683463 (or 11683460 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

The square root of 105151113 is about 10254.3216742991. The cubic root of 105151113 is about 471.9956085606.

It can be divided in two parts, 10515 and 1113, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 105151113 in words is "one hundred five million, one hundred fifty-one thousand, one hundred thirteen".