105541967 has 4 divisors (see below), whose sum is σ = 111750336. Its totient is φ = 99333600.

The previous prime is 105541957. The next prime is 105541981. The reversal of 105541967 is 769145501.

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

It is a cyclic number.

It is not a de Polignac number, because 105541967 - 2¹⁰ = 105540943 is a prime.

It is a super-2 number, since 2×105541967² = 22278213596458178, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105541967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105541957) 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, 3104159 + ... + 3104192.

It is an arithmetic number, because the mean of its divisors is an integer number (27937584).

Almost surely, 2^105541967 is an apocalyptic number.

105541967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105541967 is a deficient number, since it is larger than the sum of its proper divisors (6208369).

105541967 is an equidigital number, since it uses as much as digits as its factorization.

105541967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6208368.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 105541967 is about 10273.3620105592. The cubic root of 105541967 is about 472.5796989568.

It can be divided in two parts, 10554 and 1967, that added together give a palindrome (12521).

The spelling of 105541967 in words is "one hundred five million, five hundred forty-one thousand, nine hundred sixty-seven".