105150085660 has 24 divisors (see below), whose sum is σ = 221936077440. Its totient is φ = 41846529984.

The previous prime is 105150085613. The next prime is 105150085679. The reversal of 105150085660 is 66580051501.

It is a super-3 number, since 3×105150085660³ (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 7 ways as a sum of consecutive naturals, for example, 13339980 + ... + 13347859.

It is an arithmetic number, because the mean of its divisors is an integer number (9247336560).

Almost surely, 2^105150085660 is an apocalyptic number.

105150085660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105150085660 is an abundant number, since it is smaller than the sum of its proper divisors (116785991780).

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

105150085660 is a wasteful number, since it uses less digits than its factorization.

105150085660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26688045 (or 26688043 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The spelling of 105150085660 in words is "one hundred five billion, one hundred fifty million, eighty-five thousand, six hundred sixty".