105540349 has 2 divisors, whose sum is σ = 105540350. Its totient is φ = 105540348.

The previous prime is 105540329. The next prime is 105540359. The reversal of 105540349 is 943045501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93741124 + 11799225 = 9682^2 + 3435^2 .

It is a cyclic number.

It is not a de Polignac number, because 105540349 - 2¹³ = 105532157 is a prime.

It is a super-2 number, since 2×105540349² = 22277530534083602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105540349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105540329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770174 + 52770175.

It is an arithmetic number, because the mean of its divisors is an integer number (52770175).

Almost surely, 2^105540349 is an apocalyptic number.

It is an amenable number.

105540349 is a deficient number, since it is larger than the sum of its proper divisors (1).

105540349 is an equidigital number, since it uses as much as digits as its factorization.

105540349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 105540349 is about 10273.2832629106. The cubic root of 105540349 is about 472.5772840000.

The spelling of 105540349 in words is "one hundred five million, five hundred forty thousand, three hundred forty-nine".