105754109 has 2 divisors, whose sum is σ = 105754110. Its totient is φ = 105754108.

The previous prime is 105754063. The next prime is 105754111. The reversal of 105754109 is 901457501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98208100 + 7546009 = 9910^2 + 2747^2 .

It is a cyclic number.

It is not a de Polignac number, because 105754109 - 2²⁴ = 88976893 is a prime.

It is a super-2 number, since 2×105754109² = 22367863140767762, which contains 22 as substring.

Together with 105754111, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105754189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52877054 + 52877055.

It is an arithmetic number, because the mean of its divisors is an integer number (52877055).

Almost surely, 2^105754109 is an apocalyptic number.

It is an amenable number.

105754109 is a deficient number, since it is larger than the sum of its proper divisors (1).

105754109 is an equidigital number, since it uses as much as digits as its factorization.

105754109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 105754109 is about 10283.6816850776. The cubic root of 105754109 is about 472.8961193951.

The spelling of 105754109 in words is "one hundred five million, seven hundred fifty-four thousand, one hundred nine".