105753913 has 4 divisors (see below), whose sum is σ = 105985780. Its totient is φ = 105522048.

The previous prime is 105753847. The next prime is 105753961. The reversal of 105753913 is 319357501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 319357501 = 59 ⋅5412839.

It can be written as a sum of positive squares in 2 ways, for example, as 43454464 + 62299449 = 6592^2 + 7893^2 .

It is a cyclic number.

It is not a de Polignac number, because 105753913 - 2¹³ = 105745721 is a prime.

It is a super-2 number, since 2×105753913² = 22367780229623138, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105753013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115248 + ... + 116161.

It is an arithmetic number, because the mean of its divisors is an integer number (26496445).

Almost surely, 2^105753913 is an apocalyptic number.

It is an amenable number.

105753913 is a deficient number, since it is larger than the sum of its proper divisors (231867).

105753913 is an equidigital number, since it uses as much as digits as its factorization.

105753913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231866.

The product of its (nonzero) digits is 14175, while the sum is 34.

The square root of 105753913 is about 10283.6721554122. The cubic root of 105753913 is about 472.8958272466.

The spelling of 105753913 in words is "one hundred five million, seven hundred fifty-three thousand, nine hundred thirteen".