111105919 has 2 divisors, whose sum is σ = 111105920. Its totient is φ = 111105918.

The previous prime is 111105913. The next prime is 111105961. The reversal of 111105919 is 919501111.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 111105919 - 2¹¹ = 111103871 is a prime.

It is a super-2 number, since 2×111105919² = 24689050473669122, 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 (111105913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55552959 + 55552960.

It is an arithmetic number, because the mean of its divisors is an integer number (55552960).

Almost surely, 2^111105919 is an apocalyptic number.

111105919 is a deficient number, since it is larger than the sum of its proper divisors (1).

111105919 is an equidigital number, since it uses as much as digits as its factorization.

111105919 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 28.

The square root of 111105919 is about 10540.6792475627. The cubic root of 111105919 is about 480.7423683325.

It can be divided in two parts, 111 and 105919, that added together give a triangular number (106030 = T₄₆₀).

The spelling of 111105919 in words is "one hundred eleven million, one hundred five thousand, nine hundred nineteen".