106214216016 has 80 divisors (see below), whose sum is σ = 291010481280. Its totient is φ = 33310210560.

The previous prime is 106214215999. The next prime is 106214216051. The reversal of 106214216016 is 610612412601.

It is a super-2 number, since 2×106214216016² (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 15 ways as a sum of consecutive naturals, for example, 721251 + ... + 855938.

It is an arithmetic number, because the mean of its divisors is an integer number (3637631016).

Almost surely, 2^106214216016 is an apocalyptic number.

106214216016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106214216016 is an abundant number, since it is smaller than the sum of its proper divisors (184796265264).

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

106214216016 is a wasteful number, since it uses less digits than its factorization.

106214216016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577284 (or 1577278 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 106214216016 its reverse (610612412601), we get a palindrome (716826628617).

The spelling of 106214216016 in words is "one hundred six billion, two hundred fourteen million, two hundred sixteen thousand, sixteen".