106671121656 has 128 divisors (see below), whose sum is σ = 299155334400. Its totient is φ = 31411860480.

The previous prime is 106671121649. The next prime is 106671121657. The reversal of 106671121656 is 656121176601.

It is a happy number.

It is a super-2 number, since 2×106671121656² (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 (106671121657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8384356 + ... + 8397068.

It is an arithmetic number, because the mean of its divisors is an integer number (2337151050).

Almost surely, 2^106671121656 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 106671121656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149577667200).

106671121656 is an abundant number, since it is smaller than the sum of its proper divisors (192484212744).

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

106671121656 is a wasteful number, since it uses less digits than its factorization.

106671121656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13629 (or 13625 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

Subtracting 106671121656 from its reverse (656121176601), we obtain a palindrome (549450054945).

The spelling of 106671121656 in words is "one hundred six billion, six hundred seventy-one million, one hundred twenty-one thousand, six hundred fifty-six".