101813416056 has 48 divisors (see below), whose sum is σ = 300812367960. Its totient is φ = 30852550080.

The previous prime is 101813416051. The next prime is 101813416073. The reversal of 101813416056 is 650614318101.

It is a happy number.

101813416056 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 1 + 3 + 41 + 605 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101813416056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101813416051) by changing a digit.

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, 64275355 + ... + 64276938.

Almost surely, 2^101813416056 is an apocalyptic number.

It is an amenable number.

101813416056 is an abundant number, since it is smaller than the sum of its proper divisors (198998951904).

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

101813416056 is a wasteful number, since it uses less digits than its factorization.

101813416056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128552316 (or 128552309 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 101813416056 in words is "one hundred one billion, eight hundred thirteen million, four hundred sixteen thousand, fifty-six".