105100293 has 8 divisors (see below), whose sum is σ = 140188000. Its totient is φ = 70039728.

The previous prime is 105100253. The next prime is 105100309. The reversal of 105100293 is 392001501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105100293 - 2¹² = 105096197 is a prime.

It is a super-2 number, since 2×105100293² = 22092143177371698, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5358 + ... + 15456.

It is an arithmetic number, because the mean of its divisors is an integer number (17523500).

Almost surely, 2^105100293 is an apocalyptic number.

It is an amenable number.

105100293 is a deficient number, since it is larger than the sum of its proper divisors (35087707).

105100293 is a wasteful number, since it uses less digits than its factorization.

105100293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13571.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 105100293 is about 10251.8433952143. The cubic root of 105100293 is about 471.9195571159.

Adding to 105100293 its reverse (392001501), we get a palindrome (497101794).

The spelling of 105100293 in words is "one hundred five million, one hundred thousand, two hundred ninety-three".