106200317560 has 32 divisors (see below), whose sum is σ = 241142932800. Its totient is φ = 42090399360.

The previous prime is 106200317539. The next prime is 106200317563. The reversal of 106200317560 is 65713002601.

It is a super-2 number, since 2×106200317560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106200317563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12174576 + ... + 12183295.

It is an arithmetic number, because the mean of its divisors is an integer number (7535716650).

Almost surely, 2^106200317560 is an apocalyptic number.

106200317560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106200317560 is an abundant number, since it is smaller than the sum of its proper divisors (134942615240).

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

106200317560 is a wasteful number, since it uses less digits than its factorization.

106200317560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24357991 (or 24357987 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 106200317560 in words is "one hundred six billion, two hundred million, three hundred seventeen thousand, five hundred sixty".