106404400 has 60 divisors (see below), whose sum is σ = 263913664. Its totient is φ = 41184000.

The previous prime is 106404379. The next prime is 106404401. The reversal of 106404400 is 4404601.

It is a super-2 number, since 2×106404400² = 22643792678720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106404401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8110 + ... + 16690.

Almost surely, 2^106404400 is an apocalyptic number.

106404400 is a gapful number since it is divisible by the number (10) 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 106404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131956832).

106404400 is an abundant number, since it is smaller than the sum of its proper divisors (157509264).

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

106404400 is a wasteful number, since it uses less digits than its factorization.

106404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8630 (or 8619 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 106404400 is about 10315.2508452291. The cubic root of 106404400 is about 473.8634322034.

The spelling of 106404400 in words is "one hundred six million, four hundred four thousand, four hundred".