106305310 has 32 divisors (see below), whose sum is σ = 202969152. Its totient is φ = 40001280.

The previous prime is 106305289. The next prime is 106305313. The reversal of 106305310 is 13503601.

106305310 = 1290² + 1291² + ... + 1350².

It is a super-2 number, since 2×106305310² = 22601637868392200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106305313) 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, 10242 + ... + 17818.

It is an arithmetic number, because the mean of its divisors is an integer number (6342786).

Almost surely, 2^106305310 is an apocalyptic number.

106305310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106305310 is a deficient number, since it is larger than the sum of its proper divisors (96663842).

106305310 is a wasteful number, since it uses less digits than its factorization.

106305310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7668.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 106305310 is about 10310.4466440596. The cubic root of 106305310 is about 473.7162900713.

Adding to 106305310 its reverse (13503601), we get a palindrome (119808911).

The spelling of 106305310 in words is "one hundred six million, three hundred five thousand, three hundred ten".