106006561660 has 24 divisors (see below), whose sum is σ = 222624709776. Its totient is φ = 42400542720.

The previous prime is 106006561607. The next prime is 106006561663. The reversal of 106006561660 is 66165600601.

It is a super-4 number, since 4×106006561660⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006561663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326475 + ... + 564445.

It is an arithmetic number, because the mean of its divisors is an integer number (9276029574).

Almost surely, 2^106006561660 is an apocalyptic number.

106006561660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106006561660 is an abundant number, since it is smaller than the sum of its proper divisors (116618148116).

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

106006561660 is a wasteful number, since it uses less digits than its factorization.

106006561660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260253 (or 260251 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 106006561660 in words is "one hundred six billion, six million, five hundred sixty-one thousand, six hundred sixty".