11105952 has 96 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 3102720.

The previous prime is 11105923. The next prime is 11106037. The reversal of 11105952 is 25950111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13324 + ... + 14132.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 2^11105952 is an apocalyptic number.

11105952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

11105952 is an abundant number, since it is smaller than the sum of its proper divisors (23186208).

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

11105952 is a wasteful number, since it uses less digits than its factorization.

11105952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 11105952 is about 3332.5593768154. The cubic root of 11105952 is about 223.1097745576.

It can be divided in two parts, 111059 and 52, that added together give a palindrome (111111).

The spelling of 11105952 in words is "eleven million, one hundred five thousand, nine hundred fifty-two".