106005100550560 has 24 divisors (see below), whose sum is σ = 250437050051076. Its totient is φ = 42402040220160.

The previous prime is 106005100550509. The next prime is 106005100550597. The reversal of 106005100550560 is 65055001500601.

It can be written as a sum of positive squares in 2 ways, for example, as 103400995402384 + 2604105148176 = 10168628^2 + 1613724^2 .

It is a super-2 number, since 2×106005100550560² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331265939061 + ... + 331265939380.

Almost surely, 2^{106005100550560} is an apocalyptic number.

106005100550560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005100550560 is an abundant number, since it is smaller than the sum of its proper divisors (144431949500516).

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

106005100550560 is an equidigital number, since it uses as much as digits as its factorization.

106005100550560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662531878456 (or 662531878448 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 106005100550560 in words is "one hundred six trillion, five billion, one hundred million, five hundred fifty thousand, five hundred sixty".