106164400 has 120 divisors (see below), whose sum is σ = 274077200. Its totient is φ = 39398400.

The previous prime is 106164323. The next prime is 106164403. The reversal of 106164400 is 4461601.

It is a super-3 number, since 3×106164400³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106164403) 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 23 ways as a sum of consecutive naturals, for example, 463486 + ... + 463714.

Almost surely, 2^106164400 is an apocalyptic number.

106164400 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 106164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137038600).

106164400 is an abundant number, since it is smaller than the sum of its proper divisors (167912800).

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

106164400 is a wasteful number, since it uses less digits than its factorization.

106164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 106164400 is about 10303.6110175026. The cubic root of 106164400 is about 473.5068904416.

The spelling of 106164400 in words is "one hundred six million, one hundred sixty-four thousand, four hundred".