103730880 has 336 divisors, whose sum is σ = 389168640. Its totient is φ = 23316480.

The previous prime is 103730873. The next prime is 103730917. The reversal of 103730880 is 88037301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2207017 + ... + 2207063.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 2^103730880 is an apocalyptic number.

103730880 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 103730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

103730880 is an abundant number, since it is smaller than the sum of its proper divisors (285437760).

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

103730880 is a wasteful number, since it uses less digits than its factorization.

103730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 103730880 is about 10184.8357865996. The cubic root of 103730880 is about 469.8609517748.

The spelling of 103730880 in words is "one hundred three million, seven hundred thirty thousand, eight hundred eighty".