105105104 has 20 divisors (see below), whose sum is σ = 219306276. Its totient is φ = 48509952.

The previous prime is 105105083. The next prime is 105105107. The reversal of 105105104 is 401501501.

It can be written as a sum of positive squares in 2 ways, for example, as 15840400 + 89264704 = 3980^2 + 9448^2 .

It is a super-2 number, since 2×105105104² = 22094165773701632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252449 + ... + 252864.

Almost surely, 2^105105104 is an apocalyptic number.

It is an amenable number.

105105104 is an abundant number, since it is smaller than the sum of its proper divisors (114201172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105105104 is a wasteful number, since it uses less digits than its factorization.

105105104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505334 (or 505328 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 105105104 is about 10252.0780332575. The cubic root of 105105104 is about 471.9267577629.

Adding to 105105104 its reverse (401501501), we get a palindrome (506606605).

The spelling of 105105104 in words is "one hundred five million, one hundred five thousand, one hundred four".