105561010605510 has 48 divisors (see below), whose sum is σ = 274459293347616. Its totient is φ = 28149534543744.

The previous prime is 105561010605497. The next prime is 105561010605527. The reversal of 105561010605510 is 15506010165501.

It is a happy number.

105561010605510 is a `hidden beast` number, since 10 + 5 + 5 + 6 + 10 + 10 + 605 + 5 + 10 = 666.

It is a super-2 number, since 2×105561010605510² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 43842522 + ... + 46187538.

It is an arithmetic number, because the mean of its divisors is an integer number (5717901944742).

Almost surely, 2^{105561010605510} is an apocalyptic number.

105561010605510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105561010605510 is an abundant number, since it is smaller than the sum of its proper divisors (168898282742106).

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

105561010605510 is a wasteful number, since it uses less digits than its factorization.

105561010605510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845197 (or 2845194 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 105561010605510 in words is "one hundred five trillion, five hundred sixty-one billion, ten million, six hundred five thousand, five hundred ten".