105702345 has 48 divisors (see below), whose sum is σ = 221719680. Its totient is φ = 45476352.

The previous prime is 105702341. The next prime is 105702353. The reversal of 105702345 is 543207501.

It is a happy number.

It is not a de Polignac number, because 105702345 - 2² = 105702341 is a prime.

It is a super-2 number, since 2×105702345² = 22345971476998050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105702341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4515 + ... + 15224.

It is an arithmetic number, because the mean of its divisors is an integer number (4619160).

Almost surely, 2^105702345 is an apocalyptic number.

105702345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105702345 is an abundant number, since it is smaller than the sum of its proper divisors (116017335).

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

105702345 is a wasteful number, since it uses less digits than its factorization.

105702345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19774 (or 19771 counting only the distinct ones).

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

The square root of 105702345 is about 10281.1645741132. The cubic root of 105702345 is about 472.8189498490.

Adding to 105702345 its reverse (543207501), we get a palindrome (648909846).

The spelling of 105702345 in words is "one hundred five million, seven hundred two thousand, three hundred forty-five".