105610605848357 has 2 divisors, whose sum is σ = 105610605848358. Its totient is φ = 105610605848356.

The previous prime is 105610605848339. The next prime is 105610605848381. The reversal of 105610605848357 is 753848506016501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66724294228036 + 38886311620321 = 8168494^2 + 6235889^2 .

It is a cyclic number.

It is not a de Polignac number, because 105610605848357 - 2³² = 105606310881061 is a prime.

It is a super-2 number, since 2×105610605848357² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105610605848296 and 105610605848305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105610605848327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52805302924178 + 52805302924179.

It is an arithmetic number, because the mean of its divisors is an integer number (52805302924179).

Almost surely, 2^{105610605848357} is an apocalyptic number.

It is an amenable number.

105610605848357 is a deficient number, since it is larger than the sum of its proper divisors (1).

105610605848357 is an equidigital number, since it uses as much as digits as its factorization.

105610605848357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192000, while the sum is 59.

The spelling of 105610605848357 in words is "one hundred five trillion, six hundred ten billion, six hundred five million, eight hundred forty-eight thousand, three hundred fifty-seven".