103506720 has 96 divisors (see below), whose sum is σ = 328043520. Its totient is φ = 27432960.

The previous prime is 103506707. The next prime is 103506749. The reversal of 103506720 is 27605301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 91116 + ... + 92244.

It is an arithmetic number, because the mean of its divisors is an integer number (3417120).

Almost surely, 2^103506720 is an apocalyptic number.

103506720 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 103506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164021760).

103506720 is an abundant number, since it is smaller than the sum of its proper divisors (224536800).

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

103506720 is a wasteful number, since it uses less digits than its factorization.

103506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 103506720 is about 10173.8252393090. The cubic root of 103506720 is about 469.5222548514.

The spelling of 103506720 in words is "one hundred three million, five hundred six thousand, seven hundred twenty".