105505154101 has 2 divisors, whose sum is σ = 105505154102. Its totient is φ = 105505154100.

The previous prime is 105505154071. The next prime is 105505154119. The reversal of 105505154101 is 101451505501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102896600625 + 2608553476 = 320775^2 + 51074^2 .

It is an emirp because it is prime and its reverse (101451505501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105505154101 - 2²⁵ = 105471599669 is a prime.

It is a super-2 number, since 2×105505154101² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105505154101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105505157101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52752577050 + 52752577051.

It is an arithmetic number, because the mean of its divisors is an integer number (52752577051).

Almost surely, 2^105505154101 is an apocalyptic number.

It is an amenable number.

105505154101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105505154101 is an equidigital number, since it uses as much as digits as its factorization.

105505154101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2500, while the sum is 28.

Adding to 105505154101 its reverse (101451505501), we get a palindrome (206956659602).

The spelling of 105505154101 in words is "one hundred five billion, five hundred five million, one hundred fifty-four thousand, one hundred one".