106125307 has 8 divisors (see below), whose sum is σ = 110105600. Its totient is φ = 102179880.

The previous prime is 106125301. The next prime is 106125311. The reversal of 106125307 is 703521601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106125307 - 2¹⁹ = 105601019 is a prime.

It is a super-2 number, since 2×106125307² = 22525161571688498, which contains 22 as substring.

It is a Duffinian number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2433 + ... + 14770.

It is an arithmetic number, because the mean of its divisors is an integer number (13763200).

Almost surely, 2^106125307 is an apocalyptic number.

106125307 is a deficient number, since it is larger than the sum of its proper divisors (3980293).

106125307 is a wasteful number, since it uses less digits than its factorization.

106125307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17433.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 106125307 is about 10301.7137894624. The cubic root of 106125307 is about 473.4487633689.

Adding to 106125307 its reverse (703521601), we get a palindrome (809646908).

The spelling of 106125307 in words is "one hundred six million, one hundred twenty-five thousand, three hundred seven".