105523601641 has 2 divisors, whose sum is σ = 105523601642. Its totient is φ = 105523601640.

The previous prime is 105523601593. The next prime is 105523601657. The reversal of 105523601641 is 146106325501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83191288041 + 22332313600 = 288429^2 + 149440^2 .

It is an emirp because it is prime and its reverse (146106325501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105523601641 is a prime.

It is a super-2 number, since 2×105523601641² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105523601597 and 105523601606.

It is not a weakly prime, because it can be changed into another prime (105523601671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52761800820 + 52761800821.

It is an arithmetic number, because the mean of its divisors is an integer number (52761800821).

Almost surely, 2^105523601641 is an apocalyptic number.

It is an amenable number.

105523601641 is a deficient number, since it is larger than the sum of its proper divisors (1).

105523601641 is an equidigital number, since it uses as much as digits as its factorization.

105523601641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 105523601641 in words is "one hundred five billion, five hundred twenty-three million, six hundred one thousand, six hundred forty-one".