1002984100 has 36 divisors (see below), whose sum is σ = 2177985600. Its totient is φ = 400915360.

The previous prime is 1002984091. The next prime is 1002984109. The reversal of 1002984100 is 14892001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1002984091) and next prime (1002984109).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1002984109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201441 + ... + 206359.

It is an arithmetic number, because the mean of its divisors is an integer number (60499600).

Almost surely, 2^1002984100 is an apocalyptic number.

1002984100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002984100 is an abundant number, since it is smaller than the sum of its proper divisors (1175001500).

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

1002984100 is a wasteful number, since it uses less digits than its factorization.

1002984100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 1002984100 is about 31669.9242184126. The cubic root of 1002984100 is about 1000.9937122090.

The spelling of 1002984100 in words is "one billion, two million, nine hundred eighty-four thousand, one hundred".