105562106441 has 32 divisors (see below), whose sum is σ = 128397312000. Its totient is φ = 85535412480.

The previous prime is 105562106417. The next prime is 105562106453. The reversal of 105562106441 is 144601265501.

It is a cyclic number.

It is not a de Polignac number, because 105562106441 - 2²⁶ = 105494997577 is a prime.

It is a super-2 number, since 2×105562106441² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105562106341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19179896 + ... + 19185398.

It is an arithmetic number, because the mean of its divisors is an integer number (4012416000).

Almost surely, 2^105562106441 is an apocalyptic number.

105562106441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105562106441 is a deficient number, since it is larger than the sum of its proper divisors (22835205559).

105562106441 is a wasteful number, since it uses less digits than its factorization.

105562106441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10949.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 105562106441 in words is "one hundred five billion, five hundred sixty-two million, one hundred six thousand, four hundred forty-one".