105110111115661 has 4 divisors (see below), whose sum is σ = 105569107234300. Its totient is φ = 104651114997024.

The previous prime is 105110111115649. The next prime is 105110111115673. The reversal of 105110111115661 is 166511111011501.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (105110111115649) and next prime (105110111115673).

It can be written as a sum of positive squares in 2 ways, for example, as 48032176775625 + 57077934340036 = 6930525^2 + 7554994^2 .

It is a cyclic number.

It is not a de Polignac number, because 105110111115661 - 2¹⁷ = 105110110984589 is a prime.

It is a super-2 number, since 2×105110111115661² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105110111115641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229498058976 + ... + 229498059433.

It is an arithmetic number, because the mean of its divisors is an integer number (26392276808575).

Almost surely, 2^{105110111115661} is an apocalyptic number.

It is an amenable number.

105110111115661 is a deficient number, since it is larger than the sum of its proper divisors (458996118639).

105110111115661 is an equidigital number, since it uses as much as digits as its factorization.

105110111115661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458996118638.

The product of its (nonzero) digits is 900, while the sum is 31.

The spelling of 105110111115661 in words is "one hundred five trillion, one hundred ten billion, one hundred eleven million, one hundred fifteen thousand, six hundred sixty-one".