105131993 has 2 divisors, whose sum is σ = 105131994. Its totient is φ = 105131992.

The previous prime is 105131987. The next prime is 105132017. The reversal of 105131993 is 399131501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59474944 + 45657049 = 7712^2 + 6757^2 .

It is an emirp because it is prime and its reverse (399131501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105131993 - 2⁸ = 105131737 is a prime.

It is a super-2 number, since 2×105131993² = 22105471904304098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105131933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52565996 + 52565997.

It is an arithmetic number, because the mean of its divisors is an integer number (52565997).

Almost surely, 2^105131993 is an apocalyptic number.

It is an amenable number.

105131993 is a deficient number, since it is larger than the sum of its proper divisors (1).

105131993 is an equidigital number, since it uses as much as digits as its factorization.

105131993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3645, while the sum is 32.

The square root of 105131993 is about 10253.3893420664. The cubic root of 105131993 is about 471.9669986143.

The spelling of 105131993 in words is "one hundred five million, one hundred thirty-one thousand, nine hundred ninety-three".