11106172 has 48 divisors (see below), whose sum is σ = 24530688. Its totient is φ = 4273920.

The previous prime is 11106167. The next prime is 11106191. The reversal of 11106172 is 27160111.

11106172 = 169² + 170² + ... + 336².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32788 + ... + 33124.

It is an arithmetic number, because the mean of its divisors is an integer number (511056).

Almost surely, 2^11106172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265344).

11106172 is an abundant number, since it is smaller than the sum of its proper divisors (13424516).

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

11106172 is a wasteful number, since it uses less digits than its factorization.

11106172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 11106172 is about 3332.5923843158. The cubic root of 11106172 is about 223.1112477564. Note that the first 3 decimals are identical.

Adding to 11106172 its reverse (27160111), we get a palindrome (38266283).

The spelling of 11106172 in words is "eleven million, one hundred six thousand, one hundred seventy-two".