106841408 has 56 divisors (see below), whose sum is σ = 228721920. Its totient is φ = 49351680.

The previous prime is 106841353. The next prime is 106841431. The reversal of 106841408 is 804148601.

It is a super-2 number, since 2×106841408² = 22830172926844928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 48785 + ... + 50927.

It is an arithmetic number, because the mean of its divisors is an integer number (4084320).

Almost surely, 2^106841408 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 106841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114360960).

106841408 is an abundant number, since it is smaller than the sum of its proper divisors (121880512).

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

106841408 is a wasteful number, since it uses less digits than its factorization.

106841408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 106841408 is about 10336.4117565043. The cubic root of 106841408 is about 474.5112727599.

The spelling of 106841408 in words is "one hundred six million, eight hundred forty-one thousand, four hundred eight".