105873077 has 2 divisors, whose sum is σ = 105873078. Its totient is φ = 105873076.

The previous prime is 105873043. The next prime is 105873083. The reversal of 105873077 is 770378501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100180081 + 5692996 = 10009^2 + 2386^2 .

It is an emirp because it is prime and its reverse (770378501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105873077 - 2¹⁴ = 105856693 is a prime.

It is a super-2 number, since 2×105873077² = 22418216866895858, which contains 22 as substring.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 105873077 parts by 14551 straight cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 105873077.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105873007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52936538 + 52936539.

It is an arithmetic number, because the mean of its divisors is an integer number (52936539).

Almost surely, 2^105873077 is an apocalyptic number.

It is an amenable number.

105873077 is a deficient number, since it is larger than the sum of its proper divisors (1).

105873077 is an equidigital number, since it uses as much as digits as its factorization.

105873077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41160, while the sum is 38.

The square root of 105873077 is about 10289.4643689553. The cubic root of 105873077 is about 473.0733809782.

The spelling of 105873077 in words is "one hundred five million, eight hundred seventy-three thousand, seventy-seven".