105777920 has 72 divisors (see below), whose sum is σ = 264460896. Its totient is φ = 40460288.

The previous prime is 105777911. The next prime is 105777923. The reversal of 105777920 is 29777501.

It is a super-2 number, since 2×105777920² = 22377936719052800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105777923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27644 + ... + 31236.

It is an arithmetic number, because the mean of its divisors is an integer number (3673068).

Almost surely, 2^105777920 is an apocalyptic number.

105777920 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 105777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132230448).

105777920 is an abundant number, since it is smaller than the sum of its proper divisors (158682976).

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

105777920 is an equidigital number, since it uses as much as digits as its factorization.

105777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 38.

The square root of 105777920 is about 10284.8393278651. The cubic root of 105777920 is about 472.9316082747.

The spelling of 105777920 in words is "one hundred five million, seven hundred seventy-seven thousand, nine hundred twenty".