105331014 has 48 divisors (see below), whose sum is σ = 243975888. Its totient is φ = 32726016.

The previous prime is 105330923. The next prime is 105331019. The reversal of 105331014 is 410133501.

It is a super-2 number, since 2×105331014² = 22189245020536392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105331019) 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 23 ways as a sum of consecutive naturals, for example, 31134 + ... + 34350.

It is an arithmetic number, because the mean of its divisors is an integer number (5082831).

Almost surely, 2^105331014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105331014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121987944).

105331014 is an abundant number, since it is smaller than the sum of its proper divisors (138644874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105331014 is a wasteful number, since it uses less digits than its factorization.

105331014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105331014 is about 10263.0898856046. The cubic root of 105331014 is about 472.2646312414.

Adding to 105331014 its reverse (410133501), we get a palindrome (515464515).

The spelling of 105331014 in words is "one hundred five million, three hundred thirty-one thousand, fourteen".