108620820 has 288 divisors, whose sum is σ = 435891456. Its totient is φ = 21196800.

The previous prime is 108620819. The next prime is 108620843. The reversal of 108620820 is 28026801.

108620820 is a `hidden beast` number, since 10 + 8 + 620 + 8 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 235390 + ... + 235850.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 2^108620820 is an apocalyptic number.

108620820 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 108620820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217945728).

108620820 is an abundant number, since it is smaller than the sum of its proper divisors (327270636).

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

108620820 is a wasteful number, since it uses less digits than its factorization.

108620820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108620820 is about 10422.1312599679. The cubic root of 108620820 is about 477.1310637566.

The spelling of 108620820 in words is "one hundred eight million, six hundred twenty thousand, eight hundred twenty".