103814880 has 192 divisors, whose sum is σ = 357654528. Its totient is φ = 25159680.

The previous prime is 103814849. The next prime is 103814897. The reversal of 103814880 is 88418301.

It is a happy number.

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, 792415 + ... + 792545.

It is an arithmetic number, because the mean of its divisors is an integer number (1862784).

Almost surely, 2^103814880 is an apocalyptic number.

103814880 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 103814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178827264).

103814880 is an abundant number, since it is smaller than the sum of its proper divisors (253839648).

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

103814880 is a wasteful number, since it uses less digits than its factorization.

103814880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 103814880 is about 10188.9587299194. The cubic root of 103814880 is about 469.9877467758.

The spelling of 103814880 in words is "one hundred three million, eight hundred fourteen thousand, eight hundred eighty".