107772777536 has 28 divisors (see below), whose sum is σ = 215097821772. Its totient is φ = 53574901248.

The previous prime is 107772777529. The next prime is 107772777577. The reversal of 107772777536 is 635777277701.

It can be written as a sum of positive squares in 2 ways, for example, as 70785795136 + 36986982400 = 266056^2 + 192320^2 .

It is a super-3 number, since 3×107772777536³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 3 ways as a sum of consecutive naturals, for example, 4855835 + ... + 4877978.

Almost surely, 2^107772777536 is an apocalyptic number.

107772777536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107772777536 is a deficient number, since it is larger than the sum of its proper divisors (107325044236).

107772777536 is an equidigital number, since it uses as much as digits as its factorization.

107772777536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733998 (or 9733988 counting only the distinct ones).

The product of its (nonzero) digits is 21176820, while the sum is 59.

The spelling of 107772777536 in words is "one hundred seven billion, seven hundred seventy-two million, seven hundred seventy-seven thousand, five hundred thirty-six".