105056110100992 has 40 divisors (see below), whose sum is σ = 212782471363836. Its totient is φ = 51808492634112.

The previous prime is 105056110100959. The next prime is 105056110101037. The reversal of 105056110100992 is 299001011650501.

It can be written as a sum of positive squares in 2 ways, for example, as 93807438059776 + 11248672041216 = 9685424^2 + 3353904^2 .

It is a super-2 number, since 2×105056110100992² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1405357933 + ... + 1405432684.

Almost surely, 2^{105056110100992} is an apocalyptic number.

It is an amenable number.

105056110100992 is an abundant number, since it is smaller than the sum of its proper divisors (107726361262844).

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

105056110100992 is an frugal number, since it uses more digits than its factorization.

105056110100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810790708 (or 2810790692 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 40.

The spelling of 105056110100992 in words is "one hundred five trillion, fifty-six billion, one hundred ten million, one hundred thousand, nine hundred ninety-two".