106225032016 has 20 divisors (see below), whose sum is σ = 212450065024. Its totient is φ = 51399208800.

The previous prime is 106225031971. The next prime is 106225032071. The reversal of 106225032016 is 610230522601.

106225032016 is an admirable number.

It is a super-2 number, since 2×106225032016² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107081190 + ... + 107082181.

Almost surely, 2^106225032016 is an apocalyptic number.

106225032016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106225032016 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106225032016 is a wasteful number, since it uses less digits than its factorization.

106225032016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214163410 (or 214163404 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 106225032016 its reverse (610230522601), we get a palindrome (716455554617).

The spelling of 106225032016 in words is "one hundred six billion, two hundred twenty-five million, thirty-two thousand, sixteen".