105557259392 has 120 divisors (see below), whose sum is σ = 232660537065. Its totient is φ = 47682166272.

The previous prime is 105557259371. The next prime is 105557259419. The reversal of 105557259392 is 293952755501.

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 2 ways, for example, as 90254579776 + 15302679616 = 300424^2 + 123704^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=229736.

It is a super-2 number, since 2×105557259392² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2245899113 + ... + 2245899159.

Almost surely, 2^105557259392 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 105557259392

105557259392 is an abundant number, since it is smaller than the sum of its proper divisors (127103277673).

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

105557259392 is an frugal number, since it uses more digits than its factorization.

105557259392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4252500, while the sum is 53.

The spelling of 105557259392 in words is "one hundred five billion, five hundred fifty-seven million, two hundred fifty-nine thousand, three hundred ninety-two".