105488821 has 8 divisors (see below), whose sum is σ = 107930880. Its totient is φ = 103055088.

The previous prime is 105488809. The next prime is 105488843. The reversal of 105488821 is 128884501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105488821 - 2¹³ = 105480629 is a prime.

It is a super-2 number, since 2×105488821² = 22255782711940082, which 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 (105488861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28675 + ... + 32143.

It is an arithmetic number, because the mean of its divisors is an integer number (13491360).

Almost surely, 2^105488821 is an apocalyptic number.

It is an amenable number.

105488821 is a deficient number, since it is larger than the sum of its proper divisors (2442059).

105488821 is an equidigital number, since it uses as much as digits as its factorization.

105488821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163.

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 105488821 is about 10270.7750924650. The cubic root of 105488821 is about 472.5003626249.

The spelling of 105488821 in words is "one hundred five million, four hundred eighty-eight thousand, eight hundred twenty-one".