105166561552 has 160 divisors (see below), whose sum is σ = 227450442240. Its totient is φ = 46802534400.

The previous prime is 105166561541. The next prime is 105166561561. The reversal of 105166561552 is 255165661501.

It is a super-2 number, since 2×105166561552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105166561499 and 105166561508.

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, 262260552 + ... + 262260952.

It is an arithmetic number, because the mean of its divisors is an integer number (1421565264).

Almost surely, 2^105166561552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105166561552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113725221120).

105166561552 is an abundant number, since it is smaller than the sum of its proper divisors (122283880688).

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

105166561552 is a wasteful number, since it uses less digits than its factorization.

105166561552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 43.

The spelling of 105166561552 in words is "one hundred five billion, one hundred sixty-six million, five hundred sixty-one thousand, five hundred fifty-two".