106101216 has 144 divisors (see below), whose sum is σ = 344255184. Its totient is φ = 30707712.

The previous prime is 106101211. The next prime is 106101217. The reversal of 106101216 is 612101601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106101216² = 22514936073357312, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106101211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62815 + ... + 64481.

It is an arithmetic number, because the mean of its divisors is an integer number (2390661).

Almost surely, 2^106101216 is an apocalyptic number.

106101216 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 106101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172127592).

106101216 is an abundant number, since it is smaller than the sum of its proper divisors (238153968).

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

106101216 is a wasteful number, since it uses less digits than its factorization.

106101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 106101216 is about 10300.5444516297. The cubic root of 106101216 is about 473.4129355421.

Adding to 106101216 its reverse (612101601), we get a palindrome (718202817).

The spelling of 106101216 in words is "one hundred six million, one hundred one thousand, two hundred sixteen".