1002950100 has 90 divisors (see below), whose sum is σ = 3251194254. Its totient is φ = 267451200.

The previous prime is 1002950089. The next prime is 1002950101. The reversal of 1002950100 is 10592001.

It can be written as a sum of positive squares in 3 ways, for example, as 467856 + 1002482244 = 684^2 + 31662^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002950101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 53811 + ... + 70010.

Almost surely, 2^1002950100 is an apocalyptic number.

1002950100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002950100 is an abundant number, since it is smaller than the sum of its proper divisors (2248244154).

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

1002950100 is a wasteful number, since it uses less digits than its factorization.

1002950100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123847 (or 123831 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1002950100 is about 31669.3874269775. The cubic root of 1002950100 is about 1000.9824012384.

The spelling of 1002950100 in words is "one billion, two million, nine hundred fifty thousand, one hundred".