105674357 has 2 divisors, whose sum is σ = 105674358. Its totient is φ = 105674356.

The previous prime is 105674321. The next prime is 105674389. The reversal of 105674357 is 753476501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55562116 + 50112241 = 7454^2 + 7079^2 .

It is an emirp because it is prime and its reverse (753476501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105674357 - 2²⁶ = 38565493 is a prime.

It is a super-3 number, since 3×105674357³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105674357.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105674957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52837178 + 52837179.

It is an arithmetic number, because the mean of its divisors is an integer number (52837179).

Almost surely, 2^105674357 is an apocalyptic number.

It is an amenable number.

105674357 is a deficient number, since it is larger than the sum of its proper divisors (1).

105674357 is an equidigital number, since it uses as much as digits as its factorization.

105674357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 105674357 is about 10279.8033541503. The cubic root of 105674357 is about 472.7772149663. Note that the first 3 decimals are identical.

The spelling of 105674357 in words is "one hundred five million, six hundred seventy-four thousand, three hundred fifty-seven".