105338516 has 6 divisors (see below), whose sum is σ = 184342410. Its totient is φ = 52669256.

The previous prime is 105338503. The next prime is 105338549. The reversal of 105338516 is 615833501.

It can be written as a sum of positive squares in only one way, i.e., 68128516 + 37210000 = 8254^2 + 6100^2 .

It is a super-2 number, since 2×105338516² = 22192405906164512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13167311 + ... + 13167318.

It is an arithmetic number, because the mean of its divisors is an integer number (30723735).

Almost surely, 2^105338516 is an apocalyptic number.

It is an amenable number.

105338516 is a deficient number, since it is larger than the sum of its proper divisors (79003894).

105338516 is a wasteful number, since it uses less digits than its factorization.

105338516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26334633 (or 26334631 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 105338516 is about 10263.4553635703. The cubic root of 105338516 is about 472.2758430235.

The spelling of 105338516 in words is "one hundred five million, three hundred thirty-eight thousand, five hundred sixteen".