1001006100 has 90 divisors (see below), whose sum is σ = 3244892574. Its totient is φ = 266932800.

The previous prime is 1001006099. The next prime is 1001006113. The reversal of 1001006100 is 16001001.

It can be written as a sum of positive squares in 3 ways, for example, as 62441604 + 938564496 = 7902^2 + 30636^2 .

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 (9).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 53691 + ... + 69890.

Almost surely, 2^1001006100 is an apocalyptic number.

1001006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001006100 is an abundant number, since it is smaller than the sum of its proper divisors (2243886474).

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

1001006100 is a wasteful number, since it uses less digits than its factorization.

1001006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123607 (or 123591 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1001006100 is about 31638.6804402459. The cubic root of 1001006100 is about 1000.3352542587.

Adding to 1001006100 its reverse (16001001), we get a palindrome (1017007101).

The spelling of 1001006100 in words is "one billion, one million, six thousand, one hundred".