105641011 has 12 divisors (see below), whose sum is σ = 123075768. Its totient is φ = 90411552.

The previous prime is 105640991. The next prime is 105641017. The reversal of 105641011 is 110146501.

It is not a de Polignac number, because 105641011 - 2⁵ = 105640979 is a prime.

It is a super-2 number, since 2×105641011² = 22320046410204242, 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 105641011.

It is not an unprimeable number, because it can be changed into a prime (105641017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43255 + ... + 45631.

It is an arithmetic number, because the mean of its divisors is an integer number (10256314).

Almost surely, 2^105641011 is an apocalyptic number.

105641011 is a deficient number, since it is larger than the sum of its proper divisors (17434757).

105641011 is an equidigital number, since it uses as much as digits as its factorization.

105641011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 105641011 is about 10278.1813079941. The cubic root of 105641011 is about 472.7274807703.

Adding to 105641011 its reverse (110146501), we get a palindrome (215787512).

The spelling of 105641011 in words is "one hundred five million, six hundred forty-one thousand, eleven".