106612016 has 20 divisors (see below), whose sum is σ = 236069712. Its totient is φ = 45690816.

The previous prime is 106611971. The next prime is 106612019. The reversal of 106612016 is 610216601.

It is a super-2 number, since 2×106612016² = 22732243911168512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106611982 and 106612000.

It is not an unprimeable number, because it can be changed into a prime (106612019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 475835 + ... + 476058.

Almost surely, 2^106612016 is an apocalyptic number.

106612016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106612016 is an abundant number, since it is smaller than the sum of its proper divisors (129457696).

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

106612016 is an equidigital number, since it uses as much as digits as its factorization.

106612016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951908 (or 951902 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 106612016 is about 10325.3094868871. The cubic root of 106612016 is about 474.1714323496.

Adding to 106612016 its reverse (610216601), we get a palindrome (716828617).

The spelling of 106612016 in words is "one hundred six million, six hundred twelve thousand, sixteen".