105375306 has 16 divisors (see below), whose sum is σ = 213290784. Its totient is φ = 34701744.

The previous prime is 105375287. The next prime is 105375307. The reversal of 105375306 is 603573501.

It is a super-2 number, since 2×105375306² = 22207910229187272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105375307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105301 + ... + 106296.

It is an arithmetic number, because the mean of its divisors is an integer number (13330674).

Almost surely, 2^105375306 is an apocalyptic number.

105375306 is an abundant number, since it is smaller than the sum of its proper divisors (107915478).

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

105375306 is a wasteful number, since it uses less digits than its factorization.

105375306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211685.

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 105375306 is about 10265.2474884924. The cubic root of 105375306 is about 472.3308181853.

It can be divided in two parts, 105 and 375306, that added together give a triangular number (375411 = T₈₆₆).

The spelling of 105375306 in words is "one hundred five million, three hundred seventy-five thousand, three hundred six".