103001040 has 120 divisors (see below), whose sum is σ = 357912360. Its totient is φ = 26514432.

The previous prime is 103000999. The next prime is 103001077. The reversal of 103001040 is 40100301.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 97298496 = 2388^2 + 9864^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18414 + ... + 23346.

It is an arithmetic number, because the mean of its divisors is an integer number (2982603).

Almost surely, 2^103001040 is an apocalyptic number.

103001040 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 103001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178956180).

103001040 is an abundant number, since it is smaller than the sum of its proper divisors (254911320).

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

103001040 is a wasteful number, since it uses less digits than its factorization.

103001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103001040 is about 10148.9428020853. The cubic root of 103001040 is about 468.7563924462.

Adding to 103001040 its reverse (40100301), we get a palindrome (143101341).

The spelling of 103001040 in words is "one hundred three million, one thousand, forty".