105072345 has 24 divisors (see below), whose sum is σ = 208143936. Its totient is φ = 48032928.

The previous prime is 105072343. The next prime is 105072367. The reversal of 105072345 is 543270501.

It is a happy number.

It is not a de Polignac number, because 105072345 - 2¹ = 105072343 is a prime.

It is a super-2 number, since 2×105072345² = 22080395367598050, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (105072343) 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 23 ways as a sum of consecutive naturals, for example, 166467 + ... + 167096.

It is an arithmetic number, because the mean of its divisors is an integer number (8672664).

Almost surely, 2^105072345 is an apocalyptic number.

105072345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105072345 is a deficient number, since it is larger than the sum of its proper divisors (103071591).

105072345 is a wasteful number, since it uses less digits than its factorization.

105072345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333581 (or 333578 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 105072345 is about 10250.4802326525. The cubic root of 105072345 is about 471.8777228619.

The spelling of 105072345 in words is "one hundred five million, seventy-two thousand, three hundred forty-five".