105900276617 has 2 divisors, whose sum is σ = 105900276618. Its totient is φ = 105900276616.

The previous prime is 105900276553. The next prime is 105900276641. The reversal of 105900276617 is 716672009501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105674405776 + 225870841 = 325076^2 + 15029^2 .

It is a cyclic number.

It is not a de Polignac number, because 105900276617 - 2⁶ = 105900276553 is a prime.

It is a super-2 number, since 2×105900276617² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105900276817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52950138308 + 52950138309.

It is an arithmetic number, because the mean of its divisors is an integer number (52950138309).

Almost surely, 2^105900276617 is an apocalyptic number.

It is an amenable number.

105900276617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105900276617 is an equidigital number, since it uses as much as digits as its factorization.

105900276617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 158760, while the sum is 44.

The spelling of 105900276617 in words is "one hundred five billion, nine hundred million, two hundred seventy-six thousand, six hundred seventeen".