105132577 has 16 divisors (see below), whose sum is σ = 119048832. Its totient is φ = 91998720.

The previous prime is 105132557. The next prime is 105132589. The reversal of 105132577 is 775231501.

It is not a de Polignac number, because 105132577 - 2⁷ = 105132449 is a prime.

It is a super-2 number, since 2×105132577² = 22105717493321858, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (105132527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38148 + ... + 40810.

It is an arithmetic number, because the mean of its divisors is an integer number (7440552).

Almost surely, 2^105132577 is an apocalyptic number.

It is an amenable number.

105132577 is a deficient number, since it is larger than the sum of its proper divisors (13916255).

105132577 is a wasteful number, since it uses less digits than its factorization.

105132577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 105132577 is about 10253.4178204148. The cubic root of 105132577 is about 471.9678725260.

The spelling of 105132577 in words is "one hundred five million, one hundred thirty-two thousand, five hundred seventy-seven".