105349579776 has 825 divisors, whose sum is σ = 383655521711. Its totient is φ = 28791189504.

The previous prime is 105349579763. The next prime is 105349579781. The reversal of 105349579776 is 677975943501.

The square root of 105349579776 is 324576.

It is a perfect power (a square), and thus also a powerful number.

105349579776 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 495 + 79 + 7 + 76 = 666.

It is a super-2 number, since 2×105349579776² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 74 ways as a sum of consecutive naturals, for example, 4580416501 + ... + 4580416523.

Almost surely, 2^105349579776 is an apocalyptic number.

105349579776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105349579776 is the 324576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105349579776

105349579776 is an abundant number, since it is smaller than the sum of its proper divisors (278305941935).

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

105349579776 is an frugal number, since it uses more digits than its factorization.

105349579776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 50009400, while the sum is 63.

The spelling of 105349579776 in words is "one hundred five billion, three hundred forty-nine million, five hundred seventy-nine thousand, seven hundred seventy-six".