106125030 has 48 divisors (see below), whose sum is σ = 301011984. Its totient is φ = 25727040.

The previous prime is 106125029. The next prime is 106125037. The reversal of 106125030 is 30521601.

106125030 is a `hidden beast` number, since 1 + 0 + 612 + 50 + 3 + 0 = 666.

It is a super-2 number, since 2×106125030² = 22525043985001800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106124994 and 106125012.

It is a congruent number.

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, 52609 + ... + 54588.

It is an arithmetic number, because the mean of its divisors is an integer number (6271083).

Almost surely, 2^106125030 is an apocalyptic number.

106125030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106125030 is an abundant number, since it is smaller than the sum of its proper divisors (194886954).

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

106125030 is a wasteful number, since it uses less digits than its factorization.

106125030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107221 (or 107218 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106125030 is about 10301.7003450887. The cubic root of 106125030 is about 473.4483514488.

Adding to 106125030 its reverse (30521601), we get a palindrome (136646631).

The spelling of 106125030 in words is "one hundred six million, one hundred twenty-five thousand, thirty".