105837625093 has 2 divisors, whose sum is σ = 105837625094. Its totient is φ = 105837625092.

The previous prime is 105837625021. The next prime is 105837625123. The reversal of 105837625093 is 390526738501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98255917764 + 7581707329 = 313458^2 + 87073^2 .

It is an emirp because it is prime and its reverse (390526738501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105837625093 - 2¹³ = 105837616901 is a prime.

It is a super-2 number, since 2×105837625093² (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 (105837623093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52918812546 + 52918812547.

It is an arithmetic number, because the mean of its divisors is an integer number (52918812547).

Almost surely, 2^105837625093 is an apocalyptic number.

It is an amenable number.

105837625093 is a deficient number, since it is larger than the sum of its proper divisors (1).

105837625093 is an equidigital number, since it uses as much as digits as its factorization.

105837625093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 105837625093 in words is "one hundred five billion, eight hundred thirty-seven million, six hundred twenty-five thousand, ninety-three".