105766880 has 96 divisors (see below), whose sum is σ = 267478848. Its totient is φ = 39424000.

The previous prime is 105766879. The next prime is 105766883. The reversal of 105766880 is 88667501.

It is a super-2 number, since 2×105766880² = 22373265809868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105766883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150530 + ... + 151230.

It is an arithmetic number, because the mean of its divisors is an integer number (2786238).

Almost surely, 2^105766880 is an apocalyptic number.

105766880 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 105766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133739424).

105766880 is an abundant number, since it is smaller than the sum of its proper divisors (161711968).

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

105766880 is a wasteful number, since it uses less digits than its factorization.

105766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 105766880 is about 10284.3026015379. The cubic root of 105766880 is about 472.9151544734.

The spelling of 105766880 in words is "one hundred five million, seven hundred sixty-six thousand, eight hundred eighty".