105132621 has 8 divisors (see below), whose sum is σ = 152920224. Its totient is φ = 63716720.

The previous prime is 105132593. The next prime is 105132623. The reversal of 105132621 is 126231501.

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 105132621 - 2⁵ = 105132589 is a prime.

It is a super-2 number, since 2×105132621² = 22105735996659282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105132623) 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 7 ways as a sum of consecutive naturals, for example, 1592886 + ... + 1592951.

It is an arithmetic number, because the mean of its divisors is an integer number (19115028).

Almost surely, 2^105132621 is an apocalyptic number.

105132621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105132621 is a deficient number, since it is larger than the sum of its proper divisors (47787603).

105132621 is a wasteful number, since it uses less digits than its factorization.

105132621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185851.

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

The square root of 105132621 is about 10253.4199660406. The cubic root of 105132621 is about 471.9679383685.

The spelling of 105132621 in words is "one hundred five million, one hundred thirty-two thousand, six hundred twenty-one".