106561650200 has 48 divisors (see below), whose sum is σ = 254451958080. Its totient is φ = 41472639360.

The previous prime is 106561650179. The next prime is 106561650269. The reversal of 106561650200 is 2056165601.

It is a super-2 number, since 2×106561650200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 7192712 + ... + 7207511.

It is an arithmetic number, because the mean of its divisors is an integer number (5301082460).

Almost surely, 2^106561650200 is an apocalyptic number.

106561650200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106561650200 is an abundant number, since it is smaller than the sum of its proper divisors (147890307880).

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

106561650200 is a wasteful number, since it uses less digits than its factorization.

106561650200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14400276 (or 14400267 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 106561650200 in words is "one hundred six billion, five hundred sixty-one million, six hundred fifty thousand, two hundred".