105381117 has 6 divisors (see below), whose sum is σ = 152217182. Its totient is φ = 70254072.

The previous prime is 105381037. The next prime is 105381161. The reversal of 105381117 is 711183501.

105381117 is a `hidden beast` number, since 10 + 538 + 1 + 117 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105083001 + 298116 = 10251^2 + 546^2 .

It is not a de Polignac number, because 105381117 - 2⁸ = 105380861 is a prime.

It is a super-2 number, since 2×105381117² = 22210359640335378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105381167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5854498 + ... + 5854515.

Almost surely, 2^105381117 is an apocalyptic number.

It is an amenable number.

105381117 is a deficient number, since it is larger than the sum of its proper divisors (46836065).

105381117 is a wasteful number, since it uses less digits than its factorization.

105381117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11709019 (or 11709016 counting only the distinct ones).

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

The square root of 105381117 is about 10265.5305269625. The cubic root of 105381117 is about 472.3395003711.

The spelling of 105381117 in words is "one hundred five million, three hundred eighty-one thousand, one hundred seventeen".