108066420 has 384 divisors, whose sum is σ = 441262080. Its totient is φ = 21288960.

The previous prime is 108066407. The next prime is 108066457. The reversal of 108066420 is 24660801.

108066420 is a `hidden beast` number, since 10 + 8 + 0 + 6 + 642 + 0 = 666.

It is a super-2 number, since 2×108066420² = 23356702263232800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

108066420 is a modest number, since divided by 66420 gives 1080 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 956284 + ... + 956396.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^108066420 is an apocalyptic number.

108066420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10395×10396.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108066420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

108066420 is an abundant number, since it is smaller than the sum of its proper divisors (333195660).

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

108066420 is a wasteful number, since it uses less digits than its factorization.

108066420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 108066420 is about 10395.4999879756. The cubic root of 108066420 is about 476.3179207488.

The spelling of 108066420 in words is "one hundred eight million, sixty-six thousand, four hundred twenty".