103313760 has 192 divisors, whose sum is σ = 376233984. Its totient is φ = 23552000.

The previous prime is 103313741. The next prime is 103313813. The reversal of 103313760 is 67313301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103313760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89185 + ... + 90335.

It is an arithmetic number, because the mean of its divisors is an integer number (1959552).

Almost surely, 2^103313760 is an apocalyptic number.

103313760 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 103313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188116992).

103313760 is an abundant number, since it is smaller than the sum of its proper divisors (272920224).

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

103313760 is a wasteful number, since it uses less digits than its factorization.

103313760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 103313760 is about 10164.3376567290. The cubic root of 103313760 is about 469.2303080364.

The spelling of 103313760 in words is "one hundred three million, three hundred thirteen thousand, seven hundred sixty".