105778880 has 56 divisors (see below), whose sum is σ = 256062480. Its totient is φ = 41610240.

The previous prime is 105778847. The next prime is 105778889. The reversal of 105778880 is 88877501.

It is a super-2 number, since 2×105778880² = 22378342908108800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105778889) 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 7 ways as a sum of consecutive naturals, for example, 16811 + ... + 22229.

Almost surely, 2^105778880 is an apocalyptic number.

105778880 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 105778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128031240).

105778880 is an abundant number, since it is smaller than the sum of its proper divisors (150283600).

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

105778880 is an equidigital number, since it uses as much as digits as its factorization.

105778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 44.

The square root of 105778880 is about 10284.8859983959. The cubic root of 105778880 is about 472.9330389859.

The spelling of 105778880 in words is "one hundred five million, seven hundred seventy-eight thousand, eight hundred eighty".