105334031 has 8 divisors (see below), whose sum is σ = 115025664. Its totient is φ = 95661720.

The previous prime is 105334013. The next prime is 105334037. The reversal of 105334031 is 130433501.

It is a happy number.

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

It is a de Polignac number, because none of the positive numbers 2^k-105334031 is a prime.

It is a super-2 number, since 2×105334031² = 22190516173417922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105333994 and 105334012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105334037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8090 + ... + 16616.

It is an arithmetic number, because the mean of its divisors is an integer number (14378208).

Almost surely, 2^105334031 is an apocalyptic number.

105334031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105334031 is a deficient number, since it is larger than the sum of its proper divisors (9691633).

105334031 is a wasteful number, since it uses less digits than its factorization.

105334031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9661.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 105334031 is about 10263.2368675774. The cubic root of 105334031 is about 472.2691402292.

Adding to 105334031 its reverse (130433501), we get a palindrome (235767532).

The spelling of 105334031 in words is "one hundred five million, three hundred thirty-four thousand, thirty-one".