106553396664 has 576 divisors, whose sum is σ = 357186866400. Its totient is φ = 28519603200.

The previous prime is 106553396591. The next prime is 106553396693. The reversal of 106553396664 is 466693355601.

It is a happy number.

It is a super-2 number, since 2×106553396664² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106553396664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1197229132 + ... + 1197229220.

Almost surely, 2^106553396664 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 106553396664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178593433200).

106553396664 is an abundant number, since it is smaller than the sum of its proper divisors (250633469736).

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

106553396664 is a wasteful number, since it uses less digits than its factorization.

106553396664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 106553396664 in words is "one hundred six billion, five hundred fifty-three million, three hundred ninety-six thousand, six hundred sixty-four".