106425600 has 216 divisors, whose sum is σ = 368018112. Its totient is φ = 27033600.

The previous prime is 106425569. The next prime is 106425601. The reversal of 106425600 is 6524601.

It is a super-2 number, since 2×106425600² = 22652816670720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106425601) 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, 441480 + ... + 441720.

Almost surely, 2^106425600 is an apocalyptic number.

106425600 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 106425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184009056).

106425600 is an abundant number, since it is smaller than the sum of its proper divisors (261592512).

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

106425600 is a wasteful number, since it uses less digits than its factorization.

106425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106425600 is about 10316.2783987250. The cubic root of 106425600 is about 473.8949009448.

Subtracting from 106425600 its reverse (6524601), we obtain a palindrome (99900999).

The spelling of 106425600 in words is "one hundred six million, four hundred twenty-five thousand, six hundred".