106552906320 has 160 divisors (see below), whose sum is σ = 377738108928. Its totient is φ = 24339700224.

The previous prime is 106552906283. The next prime is 106552906333. The reversal of 106552906320 is 23609255601.

It is a super-3 number, since 3×106552906320³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 2781537 + ... + 2819583.

Almost surely, 2^106552906320 is an apocalyptic number.

106552906320 is a gapful number since it is divisible by the number (10) 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 106552906320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188869054464).

106552906320 is an abundant number, since it is smaller than the sum of its proper divisors (271185202608).

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

106552906320 is a wasteful number, since it uses less digits than its factorization.

106552906320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39737 (or 39731 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 106552906320 in words is "one hundred six billion, five hundred fifty-two million, nine hundred six thousand, three hundred twenty".