36226042100 has 72 divisors (see below), whose sum is σ = 79163605080. Its totient is φ = 14388756480.

The previous prime is 36226041989. The next prime is 36226042121. The reversal of 36226042100 is 124062263.

It can be written as a sum of positive squares in 12 ways, for example, as 14791910884 + 21434131216 = 121622^2 + 146404^2 .

It is a super-2 number, since 2×36226042100² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36226042100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12987506 + ... + 12990294.

It is an arithmetic number, because the mean of its divisors is an integer number (1099494515).

Almost surely, 2^36226042100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36226042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39581802540).

36226042100 is an abundant number, since it is smaller than the sum of its proper divisors (42937562980).

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

36226042100 is a wasteful number, since it uses less digits than its factorization.

36226042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 36226042100 in words is "thirty-six billion, two hundred twenty-six million, forty-two thousand, one hundred".