105649920 has 180 divisors, whose sum is σ = 378405720. Its totient is φ = 28145664.

The previous prime is 105649909. The next prime is 105649927. The reversal of 105649920 is 29946501.

105649920 is a `hidden beast` number, since 1 + 0 + 5 + 649 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×105649920² = 22323811192012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105649927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103171 + ... + 104189.

It is an arithmetic number, because the mean of its divisors is an integer number (2102254).

Almost surely, 2^105649920 is an apocalyptic number.

105649920 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 105649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189202860).

105649920 is an abundant number, since it is smaller than the sum of its proper divisors (272755800).

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

105649920 is an equidigital number, since it uses as much as digits as its factorization.

105649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 105649920 is about 10278.6146926519. The cubic root of 105649920 is about 472.7407692041.

The spelling of 105649920 in words is "one hundred five million, six hundred forty-nine thousand, nine hundred twenty".