1000103120 has 40 divisors (see below), whose sum is σ = 2326566120. Its totient is φ = 399813120.

The previous prime is 1000103101. The next prime is 1000103129. The reversal of 1000103120 is 213010001.

It can be written as a sum of positive squares in 4 ways, for example, as 15147664 + 984955456 = 3892^2 + 31384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1000103098 and 1000103107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000103129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246710 + ... + 250730.

It is an arithmetic number, because the mean of its divisors is an integer number (58164153).

Almost surely, 2^1000103120 is an apocalyptic number.

1000103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000103120 is an abundant number, since it is smaller than the sum of its proper divisors (1326463000).

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

1000103120 is a wasteful number, since it uses less digits than its factorization.

1000103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7143 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1000103120 is about 31624.4070300140. The cubic root of 1000103120 is about 1000.0343721519.

Adding to 1000103120 its reverse (213010001), we get a palindrome (1213113121).

The spelling of 1000103120 in words is "one billion, one hundred three thousand, one hundred twenty".