106868804 has 36 divisors (see below), whose sum is σ = 218596140. Its totient is φ = 45581760.

The previous prime is 106868789. The next prime is 106868809. The reversal of 106868804 is 408868601.

It can be written as a sum of positive squares in 2 ways, for example, as 40934404 + 65934400 = 6398^2 + 8120^2 .

It is a super-2 number, since 2×106868804² = 22841882536780832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106868809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43694 + ... + 46074.

It is an arithmetic number, because the mean of its divisors is an integer number (6072115).

Almost surely, 2^106868804 is an apocalyptic number.

106868804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106868804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109298070).

106868804 is an abundant number, since it is smaller than the sum of its proper divisors (111727336).

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

106868804 is a wasteful number, since it uses less digits than its factorization.

106868804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 106868804 is about 10337.7368896679. The cubic root of 106868804 is about 474.5518269486.

The spelling of 106868804 in words is "one hundred six million, eight hundred sixty-eight thousand, eight hundred four".