105074830822480 has 20 divisors (see below), whose sum is σ = 244298981662452. Its totient is φ = 42029932328960.

The previous prime is 105074830822477. The next prime is 105074830822487. The reversal of 105074830822480 is 84228038470501.

It can be written as a sum of positive squares in 2 ways, for example, as 65811423155776 + 39263407666704 = 8112424^2 + 6266052^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105074830822480² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105074830822487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 656717692561 + ... + 656717692720.

Almost surely, 2^{105074830822480} is an apocalyptic number.

105074830822480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105074830822480 is an abundant number, since it is smaller than the sum of its proper divisors (139224150839972).

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

105074830822480 is a wasteful number, since it uses less digits than its factorization.

105074830822480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313435385294 (or 1313435385288 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The spelling of 105074830822480 in words is "one hundred five trillion, seventy-four billion, eight hundred thirty million, eight hundred twenty-two thousand, four hundred eighty".