106033216 has 56 divisors (see below), whose sum is σ = 228316536. Its totient is φ = 48660480.

The previous prime is 106033201. The next prime is 106033219. The reversal of 106033216 is 612330601.

It can be written as a sum of positive squares in 4 ways, for example, as 4426816 + 101606400 = 2104^2 + 10080^2 .

It is a super-2 number, since 2×106033216² = 22486085790605312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106033219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43420 + ... + 45796.

It is an arithmetic number, because the mean of its divisors is an integer number (4077081).

Almost surely, 2^106033216 is an apocalyptic number.

106033216 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 106033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114158268).

106033216 is an abundant number, since it is smaller than the sum of its proper divisors (122283320).

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

106033216 is a wasteful number, since it uses less digits than its factorization.

106033216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 106033216 is about 10297.2431261964. The cubic root of 106033216 is about 473.3117775455.

Adding to 106033216 its reverse (612330601), we get a palindrome (718363817).

The spelling of 106033216 in words is "one hundred six million, thirty-three thousand, two hundred sixteen".