105778455696 has 45 divisors (see below), whose sum is σ = 296043684339. Its totient is φ = 35258184288.

The previous prime is 105778455661. The next prime is 105778455721. The reversal of 105778455696 is 696554877501.

The square root of 105778455696 is 325236.

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

105778455696 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 78 + 4 + 556 + 9 + 6 = 666.

It is a super-2 number, since 2×105778455696² (a number of 23 digits) contains 22 as substring.

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 8 ways as a sum of consecutive naturals, for example, 3889281 + ... + 3916383.

Almost surely, 2^105778455696 is an apocalyptic number.

105778455696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105778455696 is the 325236-th square number.

It is an amenable number.

105778455696 is an abundant number, since it is smaller than the sum of its proper divisors (190265228643).

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

105778455696 is an frugal number, since it uses more digits than its factorization.

105778455696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54220 (or 27108 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 105778455696 in words is "one hundred five billion, seven hundred seventy-eight million, four hundred fifty-five thousand, six hundred ninety-six".