105171793 has 2 divisors, whose sum is σ = 105171794. Its totient is φ = 105171792.

The previous prime is 105171779. The next prime is 105171817. The reversal of 105171793 is 397171501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101848464 + 3323329 = 10092^2 + 1823^2 .

It is a cyclic number.

It is not a de Polignac number, because 105171793 - 2¹³ = 105163601 is a prime.

It is a super-2 number, since 2×105171793² = 22122212085669698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105171743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52585896 + 52585897.

It is an arithmetic number, because the mean of its divisors is an integer number (52585897).

Almost surely, 2^105171793 is an apocalyptic number.

It is an amenable number.

105171793 is a deficient number, since it is larger than the sum of its proper divisors (1).

105171793 is an equidigital number, since it uses as much as digits as its factorization.

105171793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6615, while the sum is 34.

The square root of 105171793 is about 10255.3299800640. The cubic root of 105171793 is about 472.0265488873.

The spelling of 105171793 in words is "one hundred five million, one hundred seventy-one thousand, seven hundred ninety-three".