105116561550 has 1728 divisors, whose sum is σ = 427622255424. Its totient is φ = 18114969600.

The previous prime is 105116561507. The next prime is 105116561569. The reversal of 105116561550 is 55165611501.

It is a happy number.

105116561550 is a `hidden beast` number, since 1 + 0 + 51 + 1 + 6 + 56 + 1 + 550 = 666.

It is a super-2 number, since 2×105116561550² (a number of 23 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 863 ways as a sum of consecutive naturals, for example, 1983331324 + ... + 1983331376.

It is an arithmetic number, because the mean of its divisors is an integer number (247466583).

Almost surely, 2^105116561550 is an apocalyptic number.

105116561550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105116561550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213811127712).

105116561550 is an abundant number, since it is smaller than the sum of its proper divisors (322505693874).

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

105116561550 is a wasteful number, since it uses less digits than its factorization.

105116561550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

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

It can be divided in two parts, 105116 and 561550, that added together give a palindrome (666666).

The spelling of 105116561550 in words is "one hundred five billion, one hundred sixteen million, five hundred sixty-one thousand, five hundred fifty".