106506875 has 20 divisors (see below), whose sum is σ = 140111400. Its totient is φ = 80712000.

The previous prime is 106506833. The next prime is 106506901. The reversal of 106506875 is 578605601.

It is a happy number.

It is not a de Polignac number, because 106506875 - 2⁸ = 106506619 is a prime.

It is a super-2 number, since 2×106506875² = 22687428844531250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7391 + ... + 16359.

It is an arithmetic number, because the mean of its divisors is an integer number (7005570).

Almost surely, 2^106506875 is an apocalyptic number.

106506875 is a deficient number, since it is larger than the sum of its proper divisors (33604525).

106506875 is an frugal number, since it uses more digits than its factorization.

106506875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008 (or 8993 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 106506875 is about 10320.2168097381. The cubic root of 106506875 is about 474.0155047834.

The spelling of 106506875 in words is "one hundred six million, five hundred six thousand, eight hundred seventy-five".