106875307 has 16 divisors (see below), whose sum is σ = 134360064. Its totient is φ = 83272200.

The previous prime is 106875299. The next prime is 106875313. The reversal of 106875307 is 703578601.

It is not a de Polignac number, because 106875307 - 2³ = 106875299 is a prime.

It is a super-2 number, since 2×106875307² = 22844662492688498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106875337) 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, 3582 + ... + 15052.

It is an arithmetic number, because the mean of its divisors is an integer number (8397504).

Almost surely, 2^106875307 is an apocalyptic number.

106875307 is a deficient number, since it is larger than the sum of its proper divisors (27484757).

106875307 is an equidigital number, since it uses as much as digits as its factorization.

106875307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11511 (or 11489 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 106875307 is about 10338.0514121376. The cubic root of 106875307 is about 474.5614522955.

The spelling of 106875307 in words is "one hundred six million, eight hundred seventy-five thousand, three hundred seven".