107027776801 has 9 divisors (see below), whose sum is σ = 117646057459. Its totient is φ = 97294707400.

The previous prime is 107027776783. The next prime is 107027776811. The reversal of 107027776801 is 108677720701.

It is a happy number.

The square root of 107027776801 is 327151.

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

It can be written as a sum of positive squares in only one way, i.e., 95264205201 + 11763571600 = 308649^2 + 108460^2 .

It is not a de Polignac number, because 107027776801 - 2⁵ = 107027776769 is a prime.

It is a super-2 number, since 2×107027776801² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107027776811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3583791 + ... + 3613531.

Almost surely, 2^107027776801 is an apocalyptic number.

107027776801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107027776801 is the 327151-st square number.

107027776801 is the 163576-th centered octagonal number.

It is an amenable number.

107027776801 is a deficient number, since it is larger than the sum of its proper divisors (10618280658).

107027776801 is an frugal number, since it uses more digits than its factorization.

107027776801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59504 (or 29752 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 46.

The spelling of 107027776801 in words is "one hundred seven billion, twenty-seven million, seven hundred seventy-six thousand, eight hundred one".