106666875 has 150 divisors (see below), whose sum is σ = 237008508. Its totient is φ = 47628000.

The previous prime is 106666873. The next prime is 106666907. The reversal of 106666875 is 578666601.

It is not a de Polignac number, because 106666875 - 2¹ = 106666873 is a prime.

It is a super-2 number, since 2×106666875² = 22755644444531250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106666875.

It is not an unprimeable number, because it can be changed into a prime (106666873) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 2480604 + ... + 2480646.

Almost surely, 2^106666875 is an apocalyptic number.

106666875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106666875 is an abundant number, since it is smaller than the sum of its proper divisors (130341633).

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

106666875 is an frugal number, since it uses more digits than its factorization.

106666875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 106666875 is about 10327.9656757757. The cubic root of 106666875 is about 474.2527493566.

The spelling of 106666875 in words is "one hundred six million, six hundred sixty-six thousand, eight hundred seventy-five".