106983216 has 60 divisors (see below), whose sum is σ = 302353168. Its totient is φ = 35309952.

The previous prime is 106983211. The next prime is 106983241. The reversal of 106983216 is 612389601.

It is a super-2 number, since 2×106983216² = 22890817011405312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106983211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11226 + ... + 18438.

Almost surely, 2^106983216 is an apocalyptic number.

106983216 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 106983216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151176584).

106983216 is an abundant number, since it is smaller than the sum of its proper divisors (195369952).

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

106983216 is a wasteful number, since it uses less digits than its factorization.

106983216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7330 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 106983216 is about 10343.2691157100. The cubic root of 106983216 is about 474.7211157012.

The spelling of 106983216 in words is "one hundred six million, nine hundred eighty-three thousand, two hundred sixteen".