105331104 has 60 divisors (see below), whose sum is σ = 309783474. Its totient is φ = 35109504.

The previous prime is 105331081. The next prime is 105331129. The reversal of 105331104 is 401133501.

It can be written as a sum of positive squares in only one way, i.e., 105267600 + 63504 = 10260^2 + 252^2 .

It is a super-2 number, since 2×105331104² = 22189282939717632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17727 + ... + 22910.

Almost surely, 2^105331104 is an apocalyptic number.

It is an amenable number.

105331104 is an abundant number, since it is smaller than the sum of its proper divisors (204452370).

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

105331104 is an equidigital number, since it uses as much as digits as its factorization.

105331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40659 (or 40642 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105331104 is about 10263.0942702481. The cubic root of 105331104 is about 472.2647657500.

Adding to 105331104 its reverse (401133501), we get a palindrome (506464605).

The spelling of 105331104 in words is "one hundred five million, three hundred thirty-one thousand, one hundred four".