103781120 has 72 divisors (see below), whose sum is σ = 251657280. Its totient is φ = 41000960.

The previous prime is 103781113. The next prime is 103781137. The reversal of 103781120 is 21187301.

It is a happy number.

It is a super-3 number, since 3×103781120³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113465 + ... + 114375.

It is an arithmetic number, because the mean of its divisors is an integer number (3495240).

Almost surely, 2^103781120 is an apocalyptic number.

103781120 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 103781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125828640).

103781120 is an abundant number, since it is smaller than the sum of its proper divisors (147876160).

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

103781120 is an frugal number, since it uses more digits than its factorization.

103781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 103781120 is about 10187.3018999144. The cubic root of 103781120 is about 469.9367954845.

The spelling of 103781120 in words is "one hundred three million, seven hundred eighty-one thousand, one hundred twenty".