106100611056 has 120 divisors (see below), whose sum is σ = 324083650176. Its totient is φ = 32136289920.

The previous prime is 106100611049. The next prime is 106100611061. The reversal of 106100611056 is 650116001601.

It is a super-2 number, since 2×106100611056² (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 23 ways as a sum of consecutive naturals, for example, 3537981 + ... + 3567843.

Almost surely, 2^106100611056 is an apocalyptic number.

106100611056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106100611056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162041825088).

106100611056 is an abundant number, since it is smaller than the sum of its proper divisors (217983039120).

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

106100611056 is a wasteful number, since it uses less digits than its factorization.

106100611056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32131 (or 32122 counting only the distinct ones).

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

Adding to 106100611056 its reverse (650116001601), we get a palindrome (756216612657).

The spelling of 106100611056 in words is "one hundred six billion, one hundred million, six hundred eleven thousand, fifty-six".