105180763 has 2 divisors, whose sum is σ = 105180764. Its totient is φ = 105180762.

The previous prime is 105180731. The next prime is 105180781. The reversal of 105180763 is 367081501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105180763 - 2⁵ = 105180731 is a prime.

It is a super-2 number, since 2×105180763² = 22125985810524338, which contains 22 as substring.

It is equal to p_6042487 and since 105180763 and 6042487 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105180263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52590381 + 52590382.

It is an arithmetic number, because the mean of its divisors is an integer number (52590382).

Almost surely, 2^105180763 is an apocalyptic number.

105180763 is a deficient number, since it is larger than the sum of its proper divisors (1).

105180763 is an equidigital number, since it uses as much as digits as its factorization.

105180763 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 105180763 is about 10255.7673043025. The cubic root of 105180763 is about 472.0399680677.

The spelling of 105180763 in words is "one hundred five million, one hundred eighty thousand, seven hundred sixty-three".