105171504653 has 2 divisors, whose sum is σ = 105171504654. Its totient is φ = 105171504652.

The previous prime is 105171504629. The next prime is 105171504667. The reversal of 105171504653 is 356405171501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83644159369 + 21527345284 = 289213^2 + 146722^2 .

It is a cyclic number.

It is not a de Polignac number, because 105171504653 - 2¹² = 105171500557 is a prime.

It is a super-2 number, since 2×105171504653² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105171504623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52585752326 + 52585752327.

It is an arithmetic number, because the mean of its divisors is an integer number (52585752327).

Almost surely, 2^105171504653 is an apocalyptic number.

It is an amenable number.

105171504653 is a deficient number, since it is larger than the sum of its proper divisors (1).

105171504653 is an equidigital number, since it uses as much as digits as its factorization.

105171504653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 105171504653 in words is "one hundred five billion, one hundred seventy-one million, five hundred four thousand, six hundred fifty-three".