105331016 has 64 divisors (see below), whose sum is σ = 236736000. Its totient is φ = 42981120.

The previous prime is 105330923. The next prime is 105331019. The reversal of 105331016 is 610133501.

It is a happy number.

It is a super-2 number, since 2×105331016² = 22189245863184512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105331019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127886 + ... + 128706.

It is an arithmetic number, because the mean of its divisors is an integer number (3699000).

Almost surely, 2^105331016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105331016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118368000).

105331016 is an abundant number, since it is smaller than the sum of its proper divisors (131404984).

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

105331016 is a wasteful number, since it uses less digits than its factorization.

105331016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 105331016 is about 10263.0899830412. The cubic root of 105331016 is about 472.2646342304.

Adding to 105331016 its reverse (610133501), we get a palindrome (715464517).

The spelling of 105331016 in words is "one hundred five million, three hundred thirty-one thousand, sixteen".