105611648 has 32 divisors (see below), whose sum is σ = 213379920. Its totient is φ = 52057600.

The previous prime is 105611641. The next prime is 105611651. The reversal of 105611648 is 846116501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105611648² = 22307640386551808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105611641) 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, 3278 + ... + 14898.

Almost surely, 2^105611648 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 105611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106689960).

105611648 is an abundant number, since it is smaller than the sum of its proper divisors (107768272).

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

105611648 is an equidigital number, since it uses as much as digits as its factorization.

105611648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11706 (or 11694 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 105611648 is about 10276.7527945358. The cubic root of 105611648 is about 472.6836783898.

The spelling of 105611648 in words is "one hundred five million, six hundred eleven thousand, six hundred forty-eight".