105776060 has 48 divisors (see below), whose sum is σ = 240299136. Its totient is φ = 38879232.

The previous prime is 105776053. The next prime is 105776063. The reversal of 105776060 is 60677501.

It is a super-2 number, since 2×105776060² = 22377149738247200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105776063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66029 + ... + 67611.

It is an arithmetic number, because the mean of its divisors is an integer number (5006232).

Almost surely, 2^105776060 is an apocalyptic number.

105776060 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 105776060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120149568).

105776060 is an abundant number, since it is smaller than the sum of its proper divisors (134523076).

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

105776060 is a wasteful number, since it uses less digits than its factorization.

105776060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 105776060 is about 10284.7489031089. The cubic root of 105776060 is about 472.9288362470.

The spelling of 105776060 in words is "one hundred five million, seven hundred seventy-six thousand, sixty".