109906146 has 80 divisors (see below), whose sum is σ = 296324160. Its totient is φ = 29743200.

The previous prime is 109906133. The next prime is 109906157. The reversal of 109906146 is 641609901.

It is a self number, because there is not a number n which added to its sum of digits gives 109906146.

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 39 ways as a sum of consecutive naturals, for example, 18996 + ... + 24096.

It is an arithmetic number, because the mean of its divisors is an integer number (3704052).

Almost surely, 2^109906146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109906146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148162080).

109906146 is an abundant number, since it is smaller than the sum of its proper divisors (186418014).

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

109906146 is a wasteful number, since it uses less digits than its factorization.

109906146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109906146 is about 10483.6132130101. The cubic root of 109906146 is about 479.0056760470.

The spelling of 109906146 in words is "one hundred nine million, nine hundred six thousand, one hundred forty-six".