105639295248 has 60 divisors (see below), whose sum is σ = 295961918460. Its totient is φ = 35175149568.

The previous prime is 105639295241. The next prime is 105639295249. The reversal of 105639295248 is 842592936501.

105639295248 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 392 + 9 + 5 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14852784384 + 90786510864 = 121872^2 + 301308^2 .

It is a super-2 number, since 2×105639295248² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105639295194 and 105639295203.

It is not an unprimeable number, because it can be changed into a prime (105639295241) 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, 261061 + ... + 528612.

It is an arithmetic number, because the mean of its divisors is an integer number (4932698641).

Almost surely, 2^105639295248 is an apocalyptic number.

105639295248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105639295248 is an abundant number, since it is smaller than the sum of its proper divisors (190322623212).

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

105639295248 is a wasteful number, since it uses less digits than its factorization.

105639295248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790616 (or 790607 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 105639295248 in words is "one hundred five billion, six hundred thirty-nine million, two hundred ninety-five thousand, two hundred forty-eight".