105550666605090 has 48 divisors (see below), whose sum is σ = 313636266485568. Its totient is φ = 24125866652448.

The previous prime is 105550666605067. The next prime is 105550666605179. The reversal of 105550666605090 is 90506666055501.

It is a happy number.

It is a super-2 number, since 2×105550666605090² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83770369692 + ... + 83770370951.

It is an arithmetic number, because the mean of its divisors is an integer number (6534088885116).

Almost surely, 2^{105550666605090} is an apocalyptic number.

105550666605090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105550666605090 is an abundant number, since it is smaller than the sum of its proper divisors (208085599880478).

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

105550666605090 is a wasteful number, since it uses less digits than its factorization.

105550666605090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167540740663 (or 167540740660 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 105550666605090 in words is "one hundred five trillion, five hundred fifty billion, six hundred sixty-six million, six hundred five thousand, ninety".