106404384 has 48 divisors (see below), whose sum is σ = 281026368. Its totient is φ = 35250432.

The previous prime is 106404379. The next prime is 106404401. The reversal of 106404384 is 483404601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106404384² = 22643785868838912, which contains 22 as substring.

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, 12714 + ... + 19350.

It is an arithmetic number, because the mean of its divisors is an integer number (5854716).

Almost surely, 2^106404384 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 106404384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140513184).

106404384 is an abundant number, since it is smaller than the sum of its proper divisors (174621984).

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

106404384 is a wasteful number, since it uses less digits than its factorization.

106404384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 106404384 is about 10315.2500696784. The cubic root of 106404384 is about 473.8634084518.

Adding to 106404384 its reverse (483404601), we get a palindrome (589808985).

The spelling of 106404384 in words is "one hundred six million, four hundred four thousand, three hundred eighty-four".