105672517 has 2 divisors, whose sum is σ = 105672518. Its totient is φ = 105672516.

The previous prime is 105672499. The next prime is 105672551. The reversal of 105672517 is 715276501.

It is a happy number.

It is an a-pointer prime, because the next prime (105672551) can be obtained adding 105672517 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104837121 + 835396 = 10239^2 + 914^2 .

It is an emirp because it is prime and its reverse (715276501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105672517 - 2¹¹ = 105670469 is a prime.

It is a super-2 number, since 2×105672517² = 22333361698230578, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105672577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52836258 + 52836259.

It is an arithmetic number, because the mean of its divisors is an integer number (52836259).

Almost surely, 2^105672517 is an apocalyptic number.

It is an amenable number.

105672517 is a deficient number, since it is larger than the sum of its proper divisors (1).

105672517 is an equidigital number, since it uses as much as digits as its factorization.

105672517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14700, while the sum is 34.

The square root of 105672517 is about 10279.7138578853. The cubic root of 105672517 is about 472.7744709543.

The spelling of 105672517 in words is "one hundred five million, six hundred seventy-two thousand, five hundred seventeen".