1030100040 has 144 divisors (see below), whose sum is σ = 3556699380. Its totient is φ = 258508800.

The previous prime is 1030100033. The next prime is 1030100041. The reversal of 1030100040 is 400010301.

It can be written as a sum of positive squares in 6 ways, for example, as 957407364 + 72692676 = 30942^2 + 8526^2 .

It is a super-2 number, since 2×1030100040² = 2122212184816003200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1030099995 and 1030100031.

It is not an unprimeable number, because it can be changed into a prime (1030100041) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 99090 + ... + 108990.

Almost surely, 2^1030100040 is an apocalyptic number.

1030100040 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 1030100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778349690).

1030100040 is an abundant number, since it is smaller than the sum of its proper divisors (2526599340).

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

1030100040 is a wasteful number, since it uses less digits than its factorization.

1030100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952 (or 9928 counting only the distinct ones).

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

The square root of 1030100040 is about 32095.1715994789. The cubic root of 1030100040 is about 1009.9343289654.

Adding to 1030100040 its reverse (400010301), we get a palindrome (1430110341).

The spelling of 1030100040 in words is "one billion, thirty million, one hundred thousand, forty".