106166775 has 96 divisors (see below), whose sum is σ = 217486080. Its totient is φ = 44928000.

The previous prime is 106166773. The next prime is 106166803. The reversal of 106166775 is 577661601.

It is not a de Polignac number, because 106166775 - 2¹ = 106166773 is a prime.

It is a super-2 number, since 2×106166775² = 22542768227801250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106166771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203515 + ... + 204035.

It is an arithmetic number, because the mean of its divisors is an integer number (2265480).

Almost surely, 2^106166775 is an apocalyptic number.

106166775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106166775 is an abundant number, since it is smaller than the sum of its proper divisors (111319305).

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

106166775 is a wasteful number, since it uses less digits than its factorization.

106166775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 106166775 is about 10303.7262677150. The cubic root of 106166775 is about 473.5104213506.

It can be divided in two parts, 10616 and 6775, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 106166775 in words is "one hundred six million, one hundred sixty-six thousand, seven hundred seventy-five".