103678120 has 144 divisors (see below), whose sum is σ = 294780060. Its totient is φ = 32707584.

The previous prime is 103678111. The next prime is 103678129. The reversal of 103678120 is 21876301.

It is an interprime number because it is at equal distance from previous prime (103678111) and next prime (103678129).

It can be written as a sum of positive squares in 6 ways, for example, as 86436 + 103591684 = 294^2 + 10178^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (103678129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331084 + ... + 331396.

Almost surely, 2^103678120 is an apocalyptic number.

103678120 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 103678120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147390030).

103678120 is an abundant number, since it is smaller than the sum of its proper divisors (191101940).

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

103678120 is a wasteful number, since it uses less digits than its factorization.

103678120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 103678120 is about 10182.2453319491. The cubic root of 103678120 is about 469.7812774358.

The spelling of 103678120 in words is "one hundred three million, six hundred seventy-eight thousand, one hundred twenty".