100611610056 has 128 divisors (see below), whose sum is σ = 289263312000. Its totient is φ = 32364009216.

The previous prime is 100611610031. The next prime is 100611610063. The reversal of 100611610056 is 650016116001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19209070 + ... + 19214306.

It is an arithmetic number, because the mean of its divisors is an integer number (2259869625).

Almost surely, 2^100611610056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100611610056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144631656000).

100611610056 is an abundant number, since it is smaller than the sum of its proper divisors (188651701944).

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

100611610056 is a wasteful number, since it uses less digits than its factorization.

100611610056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 100611610056 its reverse (650016116001), we get a palindrome (750627726057).

The spelling of 100611610056 in words is "one hundred billion, six hundred eleven million, six hundred ten thousand, fifty-six".