11633070100 has 72 divisors (see below), whose sum is σ = 25975724600. Its totient is φ = 4518789120.

The previous prime is 11633070089. The next prime is 11633070103. The reversal of 11633070100 is 107033611.

It can be written as a sum of positive squares in 12 ways, for example, as 394101904 + 11238968196 = 19852^2 + 106014^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11633070103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2132176 + ... + 2137624.

Almost surely, 2^11633070100 is an apocalyptic number.

11633070100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11633070100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987862300).

11633070100 is an abundant number, since it is smaller than the sum of its proper divisors (14342654500).

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

11633070100 is a wasteful number, since it uses less digits than its factorization.

11633070100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The spelling of 11633070100 in words is "eleven billion, six hundred thirty-three million, seventy thousand, one hundred".