105058527621 has 32 divisors (see below), whose sum is σ = 145813893120. Its totient is φ = 67202520000.

The previous prime is 105058527617. The next prime is 105058527641. The reversal of 105058527621 is 126725850501.

It is not a de Polignac number, because 105058527621 - 2² = 105058527617 is a prime.

It is a super-2 number, since 2×105058527621² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105058527601) 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, 10105336 + ... + 10115726.

It is an arithmetic number, because the mean of its divisors is an integer number (4556684160).

Almost surely, 2^105058527621 is an apocalyptic number.

It is an amenable number.

105058527621 is a deficient number, since it is larger than the sum of its proper divisors (40755365499).

105058527621 is a wasteful number, since it uses less digits than its factorization.

105058527621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11137.

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 105058527621 in words is "one hundred five billion, fifty-eight million, five hundred twenty-seven thousand, six hundred twenty-one".