1055778900101 has 8 divisors (see below), whose sum is σ = 1093857653880. Its totient is φ = 1017811652032.

The previous prime is 1055778900067. The next prime is 1055778900133. The reversal of 1055778900101 is 1010098775501.

It can be written as a sum of positive squares in 4 ways, for example, as 28041177025 + 1027737723076 = 167455^2 + 1013774^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1055778900101 - 2⁶ = 1055778900037 is a prime.

It is a super-2 number, since 2×1055778900101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055778900151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27857150 + ... + 27895023.

It is an arithmetic number, because the mean of its divisors is an integer number (136732206735).

Almost surely, 2^{1055778900101} is an apocalyptic number.

It is an amenable number.

1055778900101 is a deficient number, since it is larger than the sum of its proper divisors (38078753779).

1055778900101 is an equidigital number, since it uses as much as digits as its factorization.

1055778900101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55752855.

The product of its (nonzero) digits is 88200, while the sum is 44.

The spelling of 1055778900101 in words is "one trillion, fifty-five billion, seven hundred seventy-eight million, nine hundred thousand, one hundred one".