105006621 has 16 divisors (see below), whose sum is σ = 144794304. Its totient is φ = 67651584.

The previous prime is 105006619. The next prime is 105006653. The reversal of 105006621 is 126600501.

It is a happy number.

It is not a de Polignac number, because 105006621 - 2¹ = 105006619 is a prime.

It is a super-2 number, since 2×105006621² = 22052780907675282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105006611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5725 + ... + 15581.

It is an arithmetic number, because the mean of its divisors is an integer number (9049644).

Almost surely, 2^105006621 is an apocalyptic number.

It is an amenable number.

105006621 is a deficient number, since it is larger than the sum of its proper divisors (39787683).

105006621 is an equidigital number, since it uses as much as digits as its factorization.

105006621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9980.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105006621 is about 10247.2738325859. The cubic root of 105006621 is about 471.7793139667.

The spelling of 105006621 in words is "one hundred five million, six thousand, six hundred twenty-one".