103819680 has 144 divisors (see below), whose sum is σ = 375213384. Its totient is φ = 26050560.

The previous prime is 103819643. The next prime is 103819687. The reversal of 103819680 is 86918301.

It can be written as a sum of positive squares in 4 ways, for example, as 103795344 + 24336 = 10188^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103819687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22360 + ... + 26600.

Almost surely, 2^103819680 is an apocalyptic number.

103819680 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 103819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187606692).

103819680 is an abundant number, since it is smaller than the sum of its proper divisors (271393704).

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

103819680 is a wasteful number, since it uses less digits than its factorization.

103819680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 103819680 is about 10189.1942762909. The cubic root of 103819680 is about 469.9949901382.

The spelling of 103819680 in words is "one hundred three million, eight hundred nineteen thousand, six hundred eighty".