103201024 has 36 divisors (see below), whose sum is σ = 213117660. Its totient is φ = 49817600.

The previous prime is 103201009. The next prime is 103201031. The reversal of 103201024 is 420102301.

It can be written as a sum of positive squares in 2 ways, for example, as 70023424 + 33177600 = 8368^2 + 5760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103200995 and 103201013.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 474 + ... + 14374.

It is an arithmetic number, because the mean of its divisors is an integer number (5919935).

Almost surely, 2^103201024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106558830).

103201024 is an abundant number, since it is smaller than the sum of its proper divisors (109916636).

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

103201024 is an equidigital number, since it uses as much as digits as its factorization.

103201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13946 (or 13932 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 103201024 is about 10158.7904791860. The cubic root of 103201024 is about 469.0595711766.

Adding to 103201024 its reverse (420102301), we get a palindrome (523303325).

The spelling of 103201024 in words is "one hundred three million, two hundred one thousand, twenty-four".