106001566550010 has 24 divisors (see below), whose sum is σ = 275604073030260. Its totient is φ = 28267084413312.

The previous prime is 106001566549997. The next prime is 106001566550027. The reversal of 106001566550010 is 10055665100601.

106001566550010 is a `hidden beast` number, since 10 + 60 + 0 + 15 + 6 + 65 + 500 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105960486151521 + 41080398489 = 10293711^2 + 202683^2 .

It is a super-2 number, since 2×106001566550010² (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 (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588897591855 + ... + 588897592034.

Almost surely, 2^{106001566550010} is an apocalyptic number.

106001566550010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106001566550010 is an abundant number, since it is smaller than the sum of its proper divisors (169602506480250).

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

106001566550010 is a wasteful number, since it uses less digits than its factorization.

106001566550010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177795183902 (or 1177795183899 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 106001566550010 in words is "one hundred six trillion, one billion, five hundred sixty-six million, five hundred fifty thousand, ten".