105076776960 has 1008 divisors, whose sum is σ = 417895466976. Its totient is φ = 25225592832.

The previous prime is 105076776911. The next prime is 105076776991. The reversal of 105076776960 is 69677670501.

It is a happy number.

105076776960 is a `hidden beast` number, since 1 + 0 + 507 + 6 + 7 + 76 + 9 + 60 = 666.

It is a super-2 number, since 2×105076776960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 105076776897 and 105076776906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4568555509 + ... + 4568555531.

Almost surely, 2^105076776960 is an apocalyptic number.

105076776960 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 105076776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208947733488).

105076776960 is an abundant number, since it is smaller than the sum of its proper divisors (312818690016).

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

105076776960 is an frugal number, since it uses more digits than its factorization.

105076776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 105076776960 in words is "one hundred five billion, seventy-six million, seven hundred seventy-six thousand, nine hundred sixty".