105501661056 has 256 divisors, whose sum is σ = 343992960000. Its totient is φ = 31564615680.

The previous prime is 105501661039. The next prime is 105501661063. The reversal of 105501661056 is 650166105501.

It is a super-2 number, since 2×105501661056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105501661056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2985700 + ... + 3020828.

It is an arithmetic number, because the mean of its divisors is an integer number (1343722500).

Almost surely, 2^105501661056 is an apocalyptic number.

105501661056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105501661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171996480000).

105501661056 is an abundant number, since it is smaller than the sum of its proper divisors (238491298944).

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

105501661056 is a wasteful number, since it uses less digits than its factorization.

105501661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35242 (or 35224 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 105501661056 its reverse (650166105501), we get a palindrome (755667766557).

The spelling of 105501661056 in words is "one hundred five billion, five hundred one million, six hundred sixty-one thousand, fifty-six".