16101216 has 72 divisors (see below), whose sum is σ = 47056464. Its totient is φ = 5218560.

The previous prime is 16101209. The next prime is 16101223. The reversal of 16101216 is 61210161.

It is an interprime number because it is at equal distance from previous prime (16101209) and next prime (16101223).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9901 + ... + 11411.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 2^16101216 is an apocalyptic number.

16101216 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 16101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232).

16101216 is an abundant number, since it is smaller than the sum of its proper divisors (30955248).

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

16101216 is a wasteful number, since it uses less digits than its factorization.

16101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1553 counting only the distinct ones).

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

The square root of 16101216 is about 4012.6320539018. The cubic root of 16101216 is about 252.5144441628.

Adding to 16101216 its reverse (61210161), we get a palindrome (77311377).

It can be divided in two parts, 161012 and 16, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 16101216 in words is "sixteen million, one hundred one thousand, two hundred sixteen".