11610000100 has 36 divisors (see below), whose sum is σ = 25198387200. Its totient is φ = 4643136160.

The previous prime is 11610000097. The next prime is 11610000121. The reversal of 11610000100 is 100001611.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 11 ways as a sum of consecutive naturals, for example, 1002141 + ... + 1013659.

It is an arithmetic number, because the mean of its divisors is an integer number (699955200).

Almost surely, 2^11610000100 is an apocalyptic number.

11610000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11610000100 is the 57595-th nonagonal number.

It is an amenable number.

11610000100 is an abundant number, since it is smaller than the sum of its proper divisors (13588387100).

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

11610000100 is a wasteful number, since it uses less digits than its factorization.

11610000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21612 (or 21605 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11610000100 its reverse (100001611), we get a palindrome (11710001711).

The spelling of 11610000100 in words is "eleven billion, six hundred ten million, one hundred", and thus it is an aban number.