105111319 has 2 divisors, whose sum is σ = 105111320. Its totient is φ = 105111318.

The previous prime is 105111299. The next prime is 105111337. The reversal of 105111319 is 913111501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105111319 - 2¹³ = 105103127 is a prime.

It is a super-2 number, since 2×105111319² = 22096778763839522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105111319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105111389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52555659 + 52555660.

It is an arithmetic number, because the mean of its divisors is an integer number (52555660).

Almost surely, 2^105111319 is an apocalyptic number.

105111319 is a deficient number, since it is larger than the sum of its proper divisors (1).

105111319 is an equidigital number, since it uses as much as digits as its factorization.

105111319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 22.

The square root of 105111319 is about 10252.3811380576. The cubic root of 105111319 is about 471.9360594583.

The spelling of 105111319 in words is "one hundred five million, one hundred eleven thousand, three hundred nineteen".