105153517787881 has 2 divisors, whose sum is σ = 105153517787882. Its totient is φ = 105153517787880.

The previous prime is 105153517787833. The next prime is 105153517787891. The reversal of 105153517787881 is 188787715351501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74214503366656 + 30939014421225 = 8614784^2 + 5562285^2 .

It is a cyclic number.

It is not a de Polignac number, because 105153517787881 - 2¹³ = 105153517779689 is a prime.

It is a super-2 number, since 2×105153517787881² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105153517787891) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52576758893940 + 52576758893941.

It is an arithmetic number, because the mean of its divisors is an integer number (52576758893941).

Almost surely, 2^{105153517787881} is an apocalyptic number.

It is an amenable number.

105153517787881 is a deficient number, since it is larger than the sum of its proper divisors (1).

105153517787881 is an equidigital number, since it uses as much as digits as its factorization.

105153517787881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 65856000, while the sum is 67.

The spelling of 105153517787881 in words is "one hundred five trillion, one hundred fifty-three billion, five hundred seventeen million, seven hundred eighty-seven thousand, eight hundred eighty-one".