103864320 has 432 divisors, whose sum is σ = 436952880. Its totient is φ = 22708224.

The previous prime is 103864261. The next prime is 103864337. The reversal of 103864320 is 23468301.

It is a happy number.

103864320 is a `hidden beast` number, since 10 + 3 + 8 + 643 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4515829 + ... + 4515851.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 2^103864320 is an apocalyptic number.

103864320 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 103864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218476440).

103864320 is an abundant number, since it is smaller than the sum of its proper divisors (333088560).

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

103864320 is a wasteful number, since it uses less digits than its factorization.

103864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103864320 is about 10191.3845968053. The cubic root of 103864320 is about 470.0623427186.

It can be divided in two parts, 10386 and 4320, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 103864320 in words is "one hundred three million, eight hundred sixty-four thousand, three hundred twenty".