83105010 has 96 divisors (see below), whose sum is σ = 236798640. Its totient is φ = 20127744.

The previous prime is 83104999. The next prime is 83105051. The reversal of 83105010 is 1050138.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23707161 + 59397849 = 4869^2 + 7707^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 43434 + ... + 45306.

Almost surely, 2^83105010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83105010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118399320).

83105010 is an abundant number, since it is smaller than the sum of its proper divisors (153693630).

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

83105010 is a wasteful number, since it uses less digits than its factorization.

83105010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 83105010 is about 9116.1949299036. The cubic root of 83105010 is about 436.3909498765.

Adding to 83105010 its reverse (1050138), we get a palindrome (84155148).

The spelling of 83105010 in words is "eighty-three million, one hundred five thousand, ten".