105776034 has 64 divisors (see below), whose sum is σ = 271724544. Its totient is φ = 26680896.

The previous prime is 105776029. The next prime is 105776039. The reversal of 105776034 is 430677501.

It is an interprime number because it is at equal distance from previous prime (105776029) and next prime (105776039).

It is a super-2 number, since 2×105776034² = 22377138737538312, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105775986 and 105776004.

It is not an unprimeable number, because it can be changed into a prime (105776039) 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 31 ways as a sum of consecutive naturals, for example, 8347 + ... + 16769.

It is an arithmetic number, because the mean of its divisors is an integer number (4245696).

Almost surely, 2^105776034 is an apocalyptic number.

105776034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105776034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

105776034 is an abundant number, since it is smaller than the sum of its proper divisors (165948510).

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

105776034 is a wasteful number, since it uses less digits than its factorization.

105776034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8471.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 105776034 is about 10284.7476391013. The cubic root of 105776034 is about 472.9287974980.

The spelling of 105776034 in words is "one hundred five million, seven hundred seventy-six thousand, thirty-four".