105506530 has 32 divisors (see below), whose sum is σ = 195456240. Its totient is φ = 40980480.

The previous prime is 105506509. The next prime is 105506537. The reversal of 105506530 is 35605501.

It can be written as a sum of positive squares in 8 ways, for example, as 505521 + 105001009 = 711^2 + 10247^2 .

It is a super-2 number, since 2×105506530² = 22263255745281800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105506495 and 105506504.

It is not an unprimeable number, because it can be changed into a prime (105506537) 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, 113106 + ... + 114034.

Almost surely, 2^105506530 is an apocalyptic number.

105506530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105506530 is a deficient number, since it is larger than the sum of its proper divisors (89949710).

105506530 is a wasteful number, since it uses less digits than its factorization.

105506530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254.

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 105506530 is about 10271.6371625949. The cubic root of 105506530 is about 472.5268015741.

The spelling of 105506530 in words is "one hundred five million, five hundred six thousand, five hundred thirty".