105505531 has 16 divisors (see below), whose sum is σ = 113819904. Its totient is φ = 97552224.

The previous prime is 105505507. The next prime is 105505541. The reversal of 105505531 is 135505501.

It is a cyclic number.

It is not a de Polignac number, because 105505531 - 2⁷ = 105505403 is a prime.

It is a super-2 number, since 2×105505531² = 22262834143183922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105505496 and 105505505.

It is not an unprimeable number, because it can be changed into a prime (105505541) 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, 105325 + ... + 106321.

It is an arithmetic number, because the mean of its divisors is an integer number (7113744).

Almost surely, 2^105505531 is an apocalyptic number.

105505531 is a deficient number, since it is larger than the sum of its proper divisors (8314373).

105505531 is a wasteful number, since it uses less digits than its factorization.

105505531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170.

The product of its (nonzero) digits is 1875, while the sum is 25.

The square root of 105505531 is about 10271.5885334256. The cubic root of 105505531 is about 472.5253101790.

The spelling of 105505531 in words is "one hundred five million, five hundred five thousand, five hundred thirty-one".