106005501060 has 24 divisors (see below), whose sum is σ = 296815403136. Its totient is φ = 28268133600.

The previous prime is 106005501001. The next prime is 106005501061. The reversal of 106005501060 is 60105500601.

It is a super-2 number, since 2×106005501060² (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 106005501060.

It is not an unprimeable number, because it can be changed into a prime (106005501061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883379116 + ... + 883379235.

It is an arithmetic number, because the mean of its divisors is an integer number (12367308464).

Almost surely, 2^106005501060 is an apocalyptic number.

106005501060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005501060 is an abundant number, since it is smaller than the sum of its proper divisors (190809902076).

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

106005501060 is a wasteful number, since it uses less digits than its factorization.

106005501060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766758363 (or 1766758361 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 106005501060 in words is "one hundred six billion, five million, five hundred one thousand, sixty".