105098870147076 has 405 divisors, whose sum is σ = 300382227342351. Its totient is φ = 32028838373376.

The previous prime is 105098870147059. The next prime is 105098870147077. The reversal of 105098870147076 is 670741078890501.

The square root of 105098870147076 is 10251774.

It is a perfect power (a square), and thus also a powerful number.

105098870147076 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 98 + 8 + 7 + 0 + 1 + 470 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39646239668676 + 65452630478400 = 6296526^2 + 8090280^2 .

It is a super-2 number, since 2×105098870147076² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105098870147077) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 462990617275 + ... + 462990617501.

Almost surely, 2^{105098870147076} is an apocalyptic number.

105098870147076 is the 10251774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105098870147076

105098870147076 is an abundant number, since it is smaller than the sum of its proper divisors (195283357195275).

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

105098870147076 is an equidigital number, since it uses as much as digits as its factorization.

105098870147076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 105098870147076 in words is "one hundred five trillion, ninety-eight billion, eight hundred seventy million, one hundred forty-seven thousand, seventy-six".