105700023 has 24 divisors (see below), whose sum is σ = 179371920. Its totient is φ = 59132160.

The previous prime is 105700013. The next prime is 105700031. The reversal of 105700023 is 320007501.

It is not a de Polignac number, because 105700023 - 2⁸ = 105699767 is a prime.

It is a super-2 number, since 2×105700023² = 22344989724401058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105699969 and 105700005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105700013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39778 + ... + 42351.

It is an arithmetic number, because the mean of its divisors is an integer number (7473830).

Almost surely, 2^105700023 is an apocalyptic number.

105700023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105700023 is a deficient number, since it is larger than the sum of its proper divisors (73671897).

105700023 is a wasteful number, since it uses less digits than its factorization.

105700023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82159 (or 82156 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 105700023 is about 10281.0516485426. The cubic root of 105700023 is about 472.8154876312.

Adding to 105700023 its reverse (320007501), we get a palindrome (425707524).

The spelling of 105700023 in words is "one hundred five million, seven hundred thousand, twenty-three".