1002104100 has 108 divisors (see below), whose sum is σ = 3325857444. Its totient is φ = 251504640.

The previous prime is 1002104053. The next prime is 1002104107. The reversal of 1002104100 is 14012001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1764 + 1002102336 = 42^2 + 31656^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1002104107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17449 + ... + 48048.

Almost surely, 2^1002104100 is an apocalyptic number.

1002104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002104100 is an abundant number, since it is smaller than the sum of its proper divisors (2323753344).

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

1002104100 is a wasteful number, since it uses less digits than its factorization.

1002104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65534 (or 65524 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1002104100 is about 31656.0278620044. The cubic root of 1002104100 is about 1000.7008753257.

Adding to 1002104100 its reverse (14012001), we get a palindrome (1016116101).

The spelling of 1002104100 in words is "one billion, two million, one hundred four thousand, one hundred".