106428120 has 64 divisors (see below), whose sum is σ = 336096000. Its totient is φ = 26886528.

The previous prime is 106428097. The next prime is 106428121. The reversal of 106428120 is 21824601.

It is a super-2 number, since 2×106428120² = 22653889453468800, 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 (106428121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21060 + ... + 25619.

It is an arithmetic number, because the mean of its divisors is an integer number (5251500).

Almost surely, 2^106428120 is an apocalyptic number.

106428120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106428120 is an abundant number, since it is smaller than the sum of its proper divisors (229667880).

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

106428120 is a wasteful number, since it uses less digits than its factorization.

106428120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46712 (or 46708 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 106428120 is about 10316.4005350704. The cubic root of 106428120 is about 473.8986412909.

The spelling of 106428120 in words is "one hundred six million, four hundred twenty-eight thousand, one hundred twenty".