105530415 has 32 divisors (see below), whose sum is σ = 172290240. Its totient is φ = 55148544.

The previous prime is 105530387. The next prime is 105530431. The reversal of 105530415 is 514035501.

It is not a de Polignac number, because 105530415 - 2¹² = 105526319 is a prime.

It is a super-2 number, since 2×105530415² = 22273336980144450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182607 + ... + 183183.

It is an arithmetic number, because the mean of its divisors is an integer number (5384070).

Almost surely, 2^105530415 is an apocalyptic number.

105530415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105530415 is a deficient number, since it is larger than the sum of its proper divisors (66759825).

105530415 is a wasteful number, since it uses less digits than its factorization.

105530415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105530415 is about 10272.7997644264. The cubic root of 105530415 is about 472.5624564006.

Adding to 105530415 its reverse (514035501), we get a palindrome (619565916).

The spelling of 105530415 in words is "one hundred five million, five hundred thirty thousand, four hundred fifteen".