106125033 has 24 divisors (see below), whose sum is σ = 174288672. Its totient is φ = 57074304.

The previous prime is 106125029. The next prime is 106125037. The reversal of 106125033 is 330521601.

It is an interprime number because it is at equal distance from previous prime (106125029) and next prime (106125037).

It is not a de Polignac number, because 106125033 - 2² = 106125029 is a prime.

It is a super-2 number, since 2×106125033² = 22525045258502178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (106125037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18735 + ... + 23732.

It is an arithmetic number, because the mean of its divisors is an integer number (7262028).

Almost surely, 2^106125033 is an apocalyptic number.

It is an amenable number.

106125033 is a deficient number, since it is larger than the sum of its proper divisors (68163639).

106125033 is a wasteful number, since it uses less digits than its factorization.

106125033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42501 (or 42494 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106125033 is about 10301.7004906957. The cubic root of 106125033 is about 473.4483559101.

Adding to 106125033 its reverse (330521601), we get a palindrome (436646634).

The spelling of 106125033 in words is "one hundred six million, one hundred twenty-five thousand, thirty-three".