106551565650 has 72 divisors (see below), whose sum is σ = 286783161444. Its totient is φ = 28362672000.

The previous prime is 106551565621. The next prime is 106551565691. The reversal of 106551565650 is 56565155601.

106551565650 is a `hidden beast` number, since 10 + 6 + 5 + 515 + 65 + 65 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 45859794201 + 60691771449 = 214149^2 + 246357^2 .

It is a super-2 number, since 2×106551565650² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 106551565596 and 106551565605.

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 35 ways as a sum of consecutive naturals, for example, 38100 + ... + 463200.

Almost surely, 2^106551565650 is an apocalyptic number.

106551565650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106551565650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143391580722).

106551565650 is an abundant number, since it is smaller than the sum of its proper divisors (180231595794).

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

106551565650 is a wasteful number, since it uses less digits than its factorization.

106551565650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425676 (or 425668 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 106551565650 in words is "one hundred six billion, five hundred fifty-one million, five hundred sixty-five thousand, six hundred fifty".