105838357 has 2 divisors, whose sum is σ = 105838358. Its totient is φ = 105838356.

The previous prime is 105838333. The next prime is 105838361. The reversal of 105838357 is 753838501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86881041 + 18957316 = 9321^2 + 4354^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105838357 is a prime.

It is a super-2 number, since 2×105838357² = 22403515624918898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105838307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52919178 + 52919179.

It is an arithmetic number, because the mean of its divisors is an integer number (52919179).

Almost surely, 2^105838357 is an apocalyptic number.

It is an amenable number.

105838357 is a deficient number, since it is larger than the sum of its proper divisors (1).

105838357 is an equidigital number, since it uses as much as digits as its factorization.

105838357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 105838357 is about 10287.7770679579. Note that the first 3 decimals coincide. The cubic root of 105838357 is about 473.0216621212.

The spelling of 105838357 in words is "one hundred five million, eight hundred thirty-eight thousand, three hundred fifty-seven".