105864893 has 2 divisors, whose sum is σ = 105864894. Its totient is φ = 105864892.

The previous prime is 105864887. The next prime is 105864937. The reversal of 105864893 is 398468501.

It is an a-pointer prime, because the next prime (105864937) can be obtained adding 105864893 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87572164 + 18292729 = 9358^2 + 4277^2 .

It is a cyclic number.

It is not a de Polignac number, because 105864893 - 2¹⁶ = 105799357 is a prime.

It is a super-2 number, since 2×105864893² = 22414751139802898, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105864823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52932446 + 52932447.

It is an arithmetic number, because the mean of its divisors is an integer number (52932447).

Almost surely, 2^105864893 is an apocalyptic number.

It is an amenable number.

105864893 is a deficient number, since it is larger than the sum of its proper divisors (1).

105864893 is an equidigital number, since it uses as much as digits as its factorization.

105864893 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 105864893 is about 10289.0666729301. The cubic root of 105864893 is about 473.0611911234.

The spelling of 105864893 in words is "one hundred five million, eight hundred sixty-four thousand, eight hundred ninety-three".