103786120 has 64 divisors (see below), whose sum is σ = 246395520. Its totient is φ = 39266304.

The previous prime is 103786079. The next prime is 103786121. The reversal of 103786120 is 21687301.

It is not an unprimeable number, because it can be changed into a prime (103786121) 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 15 ways as a sum of consecutive naturals, for example, 88659 + ... + 89821.

It is an arithmetic number, because the mean of its divisors is an integer number (3849930).

Almost surely, 2^103786120 is an apocalyptic number.

103786120 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 103786120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123197760).

103786120 is an abundant number, since it is smaller than the sum of its proper divisors (142609400).

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

103786120 is a wasteful number, since it uses less digits than its factorization.

103786120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1290 counting only the distinct ones).

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

The square root of 103786120 is about 10187.5473005037. The cubic root of 103786120 is about 469.9443422850.

The spelling of 103786120 in words is "one hundred three million, seven hundred eighty-six thousand, one hundred twenty".