35226126100 has 144 divisors (see below), whose sum is σ = 87249415680. Its totient is φ = 12219644800.

The previous prime is 35226126059. The next prime is 35226126107. The reversal of 35226126100 is 162162253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35226126107) 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 47 ways as a sum of consecutive naturals, for example, 10599039 + ... + 10602361.

It is an arithmetic number, because the mean of its divisors is an integer number (605898720).

Almost surely, 2^35226126100 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 35226126100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43624707840).

35226126100 is an abundant number, since it is smaller than the sum of its proper divisors (52023289580).

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

35226126100 is a wasteful number, since it uses less digits than its factorization.

35226126100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 35226126100 its reverse (162162253), we get a palindrome (35388288353).

The spelling of 35226126100 in words is "thirty-five billion, two hundred twenty-six million, one hundred twenty-six thousand, one hundred".