105266770560 has 960 divisors, whose sum is σ = 452698389000. Its totient is φ = 23215030272.

The previous prime is 105266770537. The next prime is 105266770577. The reversal of 105266770560 is 65077662501.

105266770560 is a `hidden beast` number, since 1 + 0 + 5 + 26 + 67 + 7 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60244720704 + 45022049856 = 245448^2 + 212184^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×105266770560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73663926 + ... + 73665354.

Almost surely, 2^105266770560 is an apocalyptic number.

105266770560 is a gapful number since it is divisible by the number (10) 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 105266770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226349194500).

105266770560 is an abundant number, since it is smaller than the sum of its proper divisors (347431618440).

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

105266770560 is a wasteful number, since it uses less digits than its factorization.

105266770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

It can be divided in two parts, 105266 and 770560, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 105266770560 in words is "one hundred five billion, two hundred sixty-six million, seven hundred seventy thousand, five hundred sixty".