106067104 has 72 divisors (see below), whose sum is σ = 246812832. Its totient is φ = 44478720.

The previous prime is 106067057. The next prime is 106067141. The reversal of 106067104 is 401760601.

It is a happy number.

It is a super-2 number, since 2×106067104² = 22500461101893632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58597 + ... + 60379.

It is an arithmetic number, because the mean of its divisors is an integer number (3427956).

Almost surely, 2^106067104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106067104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123406416).

106067104 is an abundant number, since it is smaller than the sum of its proper divisors (140745728).

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

106067104 is a wasteful number, since it uses less digits than its factorization.

106067104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 106067104 is about 10298.8884837151. Note that the first 3 decimals coincide. The cubic root of 106067104 is about 473.3621953350.

The spelling of 106067104 in words is "one hundred six million, sixty-seven thousand, one hundred four".