105426365504 has 56 divisors (see below), whose sum is σ = 221872073400. Its totient is φ = 49531682816.

The previous prime is 105426365503. The next prime is 105426365507. The reversal of 105426365504 is 405563624501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28342395904 + 77083969600 = 168352^2 + 277640^2 .

It is a super-2 number, since 2×105426365504² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105426365503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592772 + ... + 749820.

Almost surely, 2^105426365504 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 105426365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110936036700).

105426365504 is an abundant number, since it is smaller than the sum of its proper divisors (116445707896).

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

105426365504 is a wasteful number, since it uses less digits than its factorization.

105426365504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157695 (or 157685 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 105426365504 in words is "one hundred five billion, four hundred twenty-six million, three hundred sixty-five thousand, five hundred four".