106013016 has 64 divisors (see below), whose sum is σ = 296287200. Its totient is φ = 35121024.

The previous prime is 106012999. The next prime is 106013021. The reversal of 106013016 is 610310601.

It is a super-2 number, since 2×106013016² = 22477519122832512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106013016.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35950 + ... + 38786.

Almost surely, 2^106013016 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 106013016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148143600).

106013016 is an abundant number, since it is smaller than the sum of its proper divisors (190274184).

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

106013016 is a wasteful number, since it uses less digits than its factorization.

106013016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 106013016 is about 10296.2622344227. The cubic root of 106013016 is about 473.2817193384.

Adding to 106013016 its reverse (610310601), we get a palindrome (716323617).

The spelling of 106013016 in words is "one hundred six million, thirteen thousand, sixteen".