106731016 has 48 divisors (see below), whose sum is σ = 240330240. Its totient is φ = 44261280.

The previous prime is 106731013. The next prime is 106731019. The reversal of 106731016 is 610137601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106731013) and next prime (106731019).

It is a super-2 number, since 2×106731016² = 22783019552784512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106731013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7761 + ... + 16543.

It is an arithmetic number, because the mean of its divisors is an integer number (5006880).

Almost surely, 2^106731016 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 106731016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120165120).

106731016 is an abundant number, since it is smaller than the sum of its proper divisors (133599224).

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

106731016 is a wasteful number, since it uses less digits than its factorization.

106731016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 106731016 is about 10331.0704188869. The cubic root of 106731016 is about 474.3477896410.

Adding to 106731016 its reverse (610137601), we get a palindrome (716868617).

The spelling of 106731016 in words is "one hundred six million, seven hundred thirty-one thousand, sixteen".