105135997 has 2 divisors, whose sum is σ = 105135998. Its totient is φ = 105135996.

The previous prime is 105135983. The next prime is 105136027. The reversal of 105135997 is 799531501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86378436 + 18757561 = 9294^2 + 4331^2 .

It is a cyclic number.

It is not a de Polignac number, because 105135997 - 2¹⁹ = 104611709 is a prime.

It is a super-2 number, since 2×105135997² = 22107155730368018, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105135917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52567998 + 52567999.

It is an arithmetic number, because the mean of its divisors is an integer number (52567999).

Almost surely, 2^105135997 is an apocalyptic number.

It is an amenable number.

105135997 is a deficient number, since it is larger than the sum of its proper divisors (1).

105135997 is an equidigital number, since it uses as much as digits as its factorization.

105135997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42525, while the sum is 40.

The square root of 105135997 is about 10253.5845927168. The cubic root of 105135997 is about 471.9729902312.

The spelling of 105135997 in words is "one hundred five million, one hundred thirty-five thousand, nine hundred ninety-seven".