103780128 has 48 divisors (see below), whose sum is σ = 286765920. Its totient is φ = 32772096.

The previous prime is 103780123. The next prime is 103780133. The reversal of 103780128 is 821087301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103780123) and next prime (103780133).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 103780095 and 103780104.

It is not an unprimeable number, because it can be changed into a prime (103780123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26625 + ... + 30272.

It is an arithmetic number, because the mean of its divisors is an integer number (5974290).

Almost surely, 2^103780128 is an apocalyptic number.

It is an amenable number.

103780128 is an abundant number, since it is smaller than the sum of its proper divisors (182985792).

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

103780128 is a wasteful number, since it uses less digits than its factorization.

103780128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56929 (or 56921 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 103780128 is about 10187.2532117348. The cubic root of 103780128 is about 469.9352981704.

The spelling of 103780128 in words is "one hundred three million, seven hundred eighty thousand, one hundred twenty-eight".