106125333 has 16 divisors (see below), whose sum is σ = 146843136. Its totient is φ = 68125680.

The previous prime is 106125319. The next prime is 106125337. The reversal of 106125333 is 333521601.

It is a happy number.

It is not a de Polignac number, because 106125333 - 2⁵ = 106125301 is a prime.

It is a super-2 number, since 2×106125333² = 22525172608721778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106125337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3366 + ... + 14952.

It is an arithmetic number, because the mean of its divisors is an integer number (9177696).

Almost surely, 2^106125333 is an apocalyptic number.

It is an amenable number.

106125333 is a deficient number, since it is larger than the sum of its proper divisors (40717803).

106125333 is a wasteful number, since it uses less digits than its factorization.

106125333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11704.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 106125333 is about 10301.7150513883. The cubic root of 106125333 is about 473.4488020328.

Adding to 106125333 its reverse (333521601), we get a palindrome (439646934).

The spelling of 106125333 in words is "one hundred six million, one hundred twenty-five thousand, three hundred thirty-three".