105521254001 has 2 divisors, whose sum is σ = 105521254002. Its totient is φ = 105521254000.

The previous prime is 105521253983. The next prime is 105521254019. The reversal of 105521254001 is 100452125501.

It is a balanced prime because it is at equal distance from previous prime (105521253983) and next prime (105521254019).

It can be written as a sum of positive squares in only one way, i.e., 100124147776 + 5397106225 = 316424^2 + 73465^2 .

It is a cyclic number.

It is not a de Polignac number, because 105521254001 - 2¹⁸ = 105520991857 is a prime.

It is a super-2 number, since 2×105521254001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105521254801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52760627000 + 52760627001.

It is an arithmetic number, because the mean of its divisors is an integer number (52760627001).

Almost surely, 2^105521254001 is an apocalyptic number.

It is an amenable number.

105521254001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105521254001 is an equidigital number, since it uses as much as digits as its factorization.

105521254001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 105521254001 its reverse (100452125501), we get a palindrome (205973379502).

The spelling of 105521254001 in words is "one hundred five billion, five hundred twenty-one million, two hundred fifty-four thousand, one".