106115216 has 20 divisors (see below), whose sum is σ = 210614124. Its totient is φ = 51763200.

The previous prime is 106115213. The next prime is 106115221. The reversal of 106115216 is 612511601.

It can be written as a sum of positive squares in 2 ways, for example, as 23232400 + 82882816 = 4820^2 + 9104^2 .

It is a super-2 number, since 2×106115216² = 22520878133453312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106115191 and 106115200.

It is not an unprimeable number, because it can be changed into a prime (106115213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80225 + ... + 81536.

Almost surely, 2^106115216 is an apocalyptic number.

106115216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106115216 is a deficient number, since it is larger than the sum of its proper divisors (104498908).

106115216 is a wasteful number, since it uses less digits than its factorization.

106115216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161810 (or 161804 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 106115216 is about 10301.2240049423. The cubic root of 106115216 is about 473.4337568229.

Adding to 106115216 its reverse (612511601), we get a palindrome (718626817).

The spelling of 106115216 in words is "one hundred six million, one hundred fifteen thousand, two hundred sixteen".