34244050100 has 36 divisors (see below), whose sum is σ = 80025713964. Its totient is φ = 12643956480.

The previous prime is 34244050097. The next prime is 34244050103. The reversal of 34244050100 is 105044243.

It is an interprime number because it is at equal distance from previous prime (34244050097) and next prime (34244050103).

It can be written as a sum of positive squares in 6 ways, for example, as 8946511396 + 25297538704 = 94586^2 + 159052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34244050103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13169489 + ... + 13172088.

It is an arithmetic number, because the mean of its divisors is an integer number (2222936499).

Almost surely, 2^34244050100 is an apocalyptic number.

It is an amenable number.

34244050100 is an abundant number, since it is smaller than the sum of its proper divisors (45781663864).

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

34244050100 is a wasteful number, since it uses less digits than its factorization.

34244050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26341604 (or 26341597 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 34244050100 its reverse (105044243), we get a palindrome (34349094343).

The spelling of 34244050100 in words is "thirty-four billion, two hundred forty-four million, fifty thousand, one hundred".