105226698752 has 96 divisors (see below), whose sum is σ = 244813135815. Its totient is φ = 45097156608.

The previous prime is 105226698749. The next prime is 105226698779. The reversal of 105226698752 is 257896622501.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 52613349376 + 52613349376 = 229376^2 + 229376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=229376.

It is a super-2 number, since 2×105226698752² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105226698694 and 105226698703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15032385533 + ... + 15032385539.

Almost surely, 2^105226698752 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 105226698752

105226698752 is an abundant number, since it is smaller than the sum of its proper divisors (139586437063).

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

105226698752 is an frugal number, since it uses more digits than its factorization.

105226698752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 105226698752 in words is "one hundred five billion, two hundred twenty-six million, six hundred ninety-eight thousand, seven hundred fifty-two".