106116225 has 24 divisors (see below), whose sum is σ = 176378592. Its totient is φ = 56294400.

The previous prime is 106116221. The next prime is 106116251. The reversal of 106116225 is 522611601.

It is not a de Polignac number, because 106116225 - 2² = 106116221 is a prime.

It is a super-2 number, since 2×106116225² = 22521306416501250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106116195 and 106116204.

It is not an unprimeable number, because it can be changed into a prime (106116221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10810 + ... + 18140.

It is an arithmetic number, because the mean of its divisors is an integer number (7349108).

Almost surely, 2^106116225 is an apocalyptic number.

106116225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106116225 is a deficient number, since it is larger than the sum of its proper divisors (70262367).

106116225 is a wasteful number, since it uses less digits than its factorization.

106116225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7537 (or 7532 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 106116225 is about 10301.2729795885. The cubic root of 106116225 is about 473.4352573716.

Adding to 106116225 its reverse (522611601), we get a palindrome (628727826).

It can be divided in two parts, 10611 and 6225, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 106116225 in words is "one hundred six million, one hundred sixteen thousand, two hundred twenty-five".