106125306 has 64 divisors (see below), whose sum is σ = 249523200. Its totient is φ = 29465856.

The previous prime is 106125301. The next prime is 106125311. The reversal of 106125306 is 603521601.

It is an interprime number because it is at equal distance from previous prime (106125301) and next prime (106125311).

It is a super-2 number, since 2×106125306² = 22525161147187272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106125301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279825 + ... + 280203.

It is an arithmetic number, because the mean of its divisors is an integer number (3898800).

Almost surely, 2^106125306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106125306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124761600).

106125306 is an abundant number, since it is smaller than the sum of its proper divisors (143397894).

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

106125306 is a wasteful number, since it uses less digits than its factorization.

106125306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106125306 is about 10301.7137409268. The cubic root of 106125306 is about 473.4487618818.

Adding to 106125306 its reverse (603521601), we get a palindrome (709646907).

The spelling of 106125306 in words is "one hundred six million, one hundred twenty-five thousand, three hundred six".