105816625156381 has 2 divisors, whose sum is σ = 105816625156382. Its totient is φ = 105816625156380.

The previous prime is 105816625156369. The next prime is 105816625156421. The reversal of 105816625156381 is 183651526618501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105803338905625 + 13286250756 = 10286075^2 + 115266^2 .

It is a cyclic number.

It is not a de Polignac number, because 105816625156381 - 2⁵ = 105816625156349 is a prime.

It is a super-3 number, since 3×105816625156381³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105816625156351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52908312578190 + 52908312578191.

It is an arithmetic number, because the mean of its divisors is an integer number (52908312578191).

Almost surely, 2^{105816625156381} is an apocalyptic number.

It is an amenable number.

105816625156381 is a deficient number, since it is larger than the sum of its proper divisors (1).

105816625156381 is an equidigital number, since it uses as much as digits as its factorization.

105816625156381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368000, while the sum is 58.

The spelling of 105816625156381 in words is "one hundred five trillion, eight hundred sixteen billion, six hundred twenty-five million, one hundred fifty-six thousand, three hundred eighty-one".