106468785 has 24 divisors (see below), whose sum is σ = 188032104. Its totient is φ = 55710720.

The previous prime is 106468783. The next prime is 106468823. The reversal of 106468785 is 587864601.

It is a happy number.

106468785 is a `hidden beast` number, since 106 + 468 + 7 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30569841 + 75898944 = 5529^2 + 8712^2 .

It is not a de Polignac number, because 106468785 - 2¹ = 106468783 is a prime.

It is a super-2 number, since 2×106468785² = 22671204358752450, 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 106468785.

It is not an unprimeable number, because it can be changed into a prime (106468783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19936 + ... + 24705.

It is an arithmetic number, because the mean of its divisors is an integer number (7834671).

Almost surely, 2^106468785 is an apocalyptic number.

106468785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106468785 is a deficient number, since it is larger than the sum of its proper divisors (81563319).

106468785 is a wasteful number, since it uses less digits than its factorization.

106468785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44705 (or 44702 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 106468785 is about 10318.3712377487. The cubic root of 106468785 is about 473.9589907372.

The spelling of 106468785 in words is "one hundred six million, four hundred sixty-eight thousand, seven hundred eighty-five".