107102819 has 2 divisors, whose sum is σ = 107102820. Its totient is φ = 107102818.

The previous prime is 107102803. The next prime is 107102833. The reversal of 107102819 is 918201701.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 107102819 - 2⁴ = 107102803 is a prime.

It is a super-2 number, since 2×107102819² = 22942027675493522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107102791 and 107102800.

It is not a weakly prime, because it can be changed into another prime (107102119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53551409 + 53551410.

It is an arithmetic number, because the mean of its divisors is an integer number (53551410).

Almost surely, 2^107102819 is an apocalyptic number.

107102819 is a deficient number, since it is larger than the sum of its proper divisors (1).

107102819 is an equidigital number, since it uses as much as digits as its factorization.

107102819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 107102819 is about 10349.0491833791. The cubic root of 107102819 is about 474.8979562883.

The spelling of 107102819 in words is "one hundred seven million, one hundred two thousand, eight hundred nineteen".