106400305 has 16 divisors (see below), whose sum is σ = 141652800. Its totient is φ = 76068160.

The previous prime is 106400303. The next prime is 106400311. The reversal of 106400305 is 503004601.

It is not a de Polignac number, because 106400305 - 2¹ = 106400303 is a prime.

It is a super-2 number, since 2×106400305² = 22642049808186050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106400303) 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, 13150 + ... + 19639.

It is an arithmetic number, because the mean of its divisors is an integer number (8853300).

Almost surely, 2^106400305 is an apocalyptic number.

It is an amenable number.

106400305 is a deficient number, since it is larger than the sum of its proper divisors (35252495).

106400305 is a wasteful number, since it uses less digits than its factorization.

106400305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32864.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 106400305 is about 10315.0523508124. The cubic root of 106400305 is about 473.8573532077.

Adding to 106400305 its reverse (503004601), we get a palindrome (609404906).

The spelling of 106400305 in words is "one hundred six million, four hundred thousand, three hundred five".