106235222016 has 384 divisors, whose sum is σ = 361789908480. Its totient is φ = 26915635200.

The previous prime is 106235222011. The next prime is 106235222021. The reversal of 106235222016 is 610222532601.

It is an interprime number because it is at equal distance from previous prime (106235222011) and next prime (106235222021).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106235222016² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106235222011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19393870 + ... + 19399346.

It is an arithmetic number, because the mean of its divisors is an integer number (942161220).

Almost surely, 2^106235222016 is an apocalyptic number.

106235222016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106235222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180894954240).

106235222016 is an abundant number, since it is smaller than the sum of its proper divisors (255554686464).

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

106235222016 is a wasteful number, since it uses less digits than its factorization.

106235222016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 106235222016 its reverse (610222532601), we get a palindrome (716457754617).

The spelling of 106235222016 in words is "one hundred six billion, two hundred thirty-five million, two hundred twenty-two thousand, sixteen".