103427120 has 80 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 40185600.

The previous prime is 103427111. The next prime is 103427143. The reversal of 103427120 is 21724301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103427092 and 103427101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744011 + ... + 744149.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^103427120 is an apocalyptic number.

103427120 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 103427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

103427120 is an abundant number, since it is smaller than the sum of its proper divisors (144057040).

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

103427120 is a wasteful number, since it uses less digits than its factorization.

103427120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 103427120 is about 10169.9124873324. The cubic root of 103427120 is about 469.4018647416.

The spelling of 103427120 in words is "one hundred three million, four hundred twenty-seven thousand, one hundred twenty".