103680720 has 480 divisors, whose sum is σ = 438721920. Its totient is φ = 21565440.

The previous prime is 103680719. The next prime is 103680749. The reversal of 103680720 is 27086301.

103680720 = T₃₈₅ + T₃₈₆ + ... + T₈₇₈.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1956214 + ... + 1956266.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2^103680720 is an apocalyptic number.

103680720 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 103680720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

103680720 is an abundant number, since it is smaller than the sum of its proper divisors (335041200).

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

103680720 is a wasteful number, since it uses less digits than its factorization.

103680720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 103680720 is about 10182.3730043640. The cubic root of 103680720 is about 469.7852044010.

It can be divided in two parts, 103680 and 720, that multiplied together give a square (74649600 = 8640²).

The spelling of 103680720 in words is "one hundred three million, six hundred eighty thousand, seven hundred twenty".