106555661160 has 128 divisors (see below), whose sum is σ = 349105800960. Its totient is φ = 25859635200.

The previous prime is 106555661131. The next prime is 106555661161. The reversal of 106555661160 is 61166555601.

It is a super-3 number, since 3×106555661160³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106555661161) 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, 370261 + ... + 591780.

It is an arithmetic number, because the mean of its divisors is an integer number (2727389070).

Almost surely, 2^106555661160 is an apocalyptic number.

106555661160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106555661160 is an abundant number, since it is smaller than the sum of its proper divisors (242550139800).

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

106555661160 is a wasteful number, since it uses less digits than its factorization.

106555661160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962139 (or 962135 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 106555661160 in words is "one hundred six billion, five hundred fifty-five million, six hundred sixty-one thousand, one hundred sixty".