103706880 has 144 divisors (see below), whose sum is σ = 335543040. Its totient is φ = 27295744.

The previous prime is 103706791. The next prime is 103706881. The reversal of 103706880 is 88607301.

It is not an unprimeable number, because it can be changed into a prime (103706881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433801 + ... + 434039.

It is an arithmetic number, because the mean of its divisors is an integer number (2330160).

Almost surely, 2^103706880 is an apocalyptic number.

103706880 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 103706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167771520).

103706880 is an abundant number, since it is smaller than the sum of its proper divisors (231836160).

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

103706880 is a wasteful number, since it uses less digits than its factorization.

103706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 103706880 is about 10183.6574962044. The cubic root of 103706880 is about 469.8247120596.

The spelling of 103706880 in words is "one hundred three million, seven hundred six thousand, eight hundred eighty".