105350813 has 8 divisors (see below), whose sum is σ = 108345600. Its totient is φ = 102396448.

The previous prime is 105350807. The next prime is 105350831. The reversal of 105350813 is 318053501.

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

It is a cyclic number.

It is not a de Polignac number, because 105350813 - 2⁴ = 105350797 is a prime.

It is a super-2 number, since 2×105350813² = 22197587599521938, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105350863) 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, 4781 + ... + 15282.

It is an arithmetic number, because the mean of its divisors is an integer number (13543200).

Almost surely, 2^105350813 is an apocalyptic number.

It is an amenable number.

105350813 is a deficient number, since it is larger than the sum of its proper divisors (2994787).

105350813 is an equidigital number, since it uses as much as digits as its factorization.

105350813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20211.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105350813 is about 10264.0544133398. The cubic root of 105350813 is about 472.2942198094.

The spelling of 105350813 in words is "one hundred five million, three hundred fifty thousand, eight hundred thirteen".