106846208 has 96 divisors (see below), whose sum is σ = 253562400. Its totient is φ = 44040192.

The previous prime is 106846199. The next prime is 106846211. The reversal of 106846208 is 802648601.

It is a super-2 number, since 2×106846208² = 22832224327958528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415616 + ... + 415872.

It is an arithmetic number, because the mean of its divisors is an integer number (2641275).

Almost surely, 2^106846208 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 106846208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126781200).

106846208 is an abundant number, since it is smaller than the sum of its proper divisors (146716192).

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

106846208 is an equidigital number, since it uses as much as digits as its factorization.

106846208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 106846208 is about 10336.6439427892. The cubic root of 106846208 is about 474.5183786815.

The spelling of 106846208 in words is "one hundred six million, eight hundred forty-six thousand, two hundred eight".