105510906 has 24 divisors (see below), whose sum is σ = 233925120. Its totient is φ = 34352136.

The previous prime is 105510901. The next prime is 105510919. The reversal of 105510906 is 609015501.

It is a super-2 number, since 2×105510906² = 22265102569881672, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105510906.

It is not an unprimeable number, because it can be changed into a prime (105510901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67386 + ... + 68933.

It is an arithmetic number, because the mean of its divisors is an integer number (9746880).

Almost surely, 2^105510906 is an apocalyptic number.

105510906 is an abundant number, since it is smaller than the sum of its proper divisors (128414214).

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

105510906 is a wasteful number, since it uses less digits than its factorization.

105510906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136370 (or 136367 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105510906 is about 10271.8501741410. The cubic root of 105510906 is about 472.5333343409.

The spelling of 105510906 in words is "one hundred five million, five hundred ten thousand, nine hundred six".