106153144117 has 2 divisors, whose sum is σ = 106153144118. Its totient is φ = 106153144116.

The previous prime is 106153144063. The next prime is 106153144127. The reversal of 106153144117 is 711441351601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82874318641 + 23278825476 = 287879^2 + 152574^2 .

It is an emirp because it is prime and its reverse (711441351601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106153144117 - 2³¹ = 104005660469 is a prime.

It is a super-2 number, since 2×106153144117² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106153144127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53076572058 + 53076572059.

It is an arithmetic number, because the mean of its divisors is an integer number (53076572059).

Almost surely, 2^106153144117 is an apocalyptic number.

It is an amenable number.

106153144117 is a deficient number, since it is larger than the sum of its proper divisors (1).

106153144117 is an equidigital number, since it uses as much as digits as its factorization.

106153144117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

Adding to 106153144117 its reverse (711441351601), we get a palindrome (817594495718).

The spelling of 106153144117 in words is "one hundred six billion, one hundred fifty-three million, one hundred forty-four thousand, one hundred seventeen".