108746820 has 192 divisors, whose sum is σ = 416586240. Its totient is φ = 22934016.

The previous prime is 108746819. The next prime is 108746821. The reversal of 108746820 is 28647801.

It is an interprime number because it is at equal distance from previous prime (108746819) and next prime (108746821).

It is a super-2 number, since 2×108746820² = 23651741720224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (108746821) 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 63 ways as a sum of consecutive naturals, for example, 48034 + ... + 50246.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 2^108746820 is an apocalyptic number.

108746820 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 108746820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208293120).

108746820 is an abundant number, since it is smaller than the sum of its proper divisors (307839420).

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

108746820 is a wasteful number, since it uses less digits than its factorization.

108746820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 108746820 is about 10428.1743368626. The cubic root of 108746820 is about 477.3154829229.

The spelling of 108746820 in words is "one hundred eight million, seven hundred forty-six thousand, eight hundred twenty".