105665010 has 64 divisors (see below), whose sum is σ = 279586944. Its totient is φ = 25344000.

The previous prime is 105665003. The next prime is 105665011. The reversal of 105665010 is 10566501.

It is a super-2 number, since 2×105665010² = 22330188676600200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105665011) 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 31 ways as a sum of consecutive naturals, for example, 30360 + ... + 33660.

It is an arithmetic number, because the mean of its divisors is an integer number (4368546).

Almost surely, 2^105665010 is an apocalyptic number.

105665010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105665010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472).

105665010 is an abundant number, since it is smaller than the sum of its proper divisors (173921934).

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

105665010 is a wasteful number, since it uses less digits than its factorization.

105665010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105665010 is about 10279.3487147776. The cubic root of 105665010 is about 472.7632753533.

It can be divided in two parts, 10566 and 5010, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 105665010 in words is "one hundred five million, six hundred sixty-five thousand, ten".