103387680 has 288 divisors, whose sum is σ = 394849728. Its totient is φ = 24422400.

The previous prime is 103387601. The next prime is 103387703. The reversal of 103387680 is 86783301.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966187 + ... + 966293.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 2^103387680 is an apocalyptic number.

103387680 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 103387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197424864).

103387680 is an abundant number, since it is smaller than the sum of its proper divisors (291462048).

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

103387680 is a wasteful number, since it uses less digits than its factorization.

103387680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 103387680 is about 10167.9732493747. The cubic root of 103387680 is about 469.3421912785.

It can be divided in two parts, 103 and 387680, that added together give a palindrome (387783).

The spelling of 103387680 in words is "one hundred three million, three hundred eighty-seven thousand, six hundred eighty".