105104415 has 32 divisors (see below), whose sum is σ = 186955776. Its totient is φ = 50071680.

The previous prime is 105104413. The next prime is 105104423. The reversal of 105104415 is 514401501.

It is not a de Polignac number, because 105104415 - 2¹ = 105104413 is a prime.

It is a super-2 number, since 2×105104415² = 22093876104984450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105104391 and 105104400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105104413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649 + ... + 14738.

It is an arithmetic number, because the mean of its divisors is an integer number (5842368).

Almost surely, 2^105104415 is an apocalyptic number.

105104415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105104415 is a deficient number, since it is larger than the sum of its proper divisors (81851361).

105104415 is a wasteful number, since it uses less digits than its factorization.

105104415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17439.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105104415 is about 10252.0444302588. The cubic root of 105104415 is about 471.9257265468.

Adding to 105104415 its reverse (514401501), we get a palindrome (619505916).

The spelling of 105104415 in words is "one hundred five million, one hundred four thousand, four hundred fifteen".