105649120 has 96 divisors (see below), whose sum is σ = 274337280. Its totient is φ = 38269440.

The previous prime is 105649111. The next prime is 105649121. The reversal of 105649120 is 21946501.

It is a super-2 number, since 2×105649120² = 22323473113548800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105649121) by changing a digit.

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, 69165 + ... + 70675.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 2^105649120 is an apocalyptic number.

105649120 is a gapful number since it is divisible by the number (10) 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 105649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

105649120 is an abundant number, since it is smaller than the sum of its proper divisors (168688160).

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

105649120 is a wasteful number, since it uses less digits than its factorization.

105649120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 105649120 is about 10278.5757768282. The cubic root of 105649120 is about 472.7395759753.

It can be divided in two parts, 1056 and 49120, that added together give a square (50176 = 224²).

The spelling of 105649120 in words is "one hundred five million, six hundred forty-nine thousand, one hundred twenty".