1055106101101 has 8 divisors (see below), whose sum is σ = 1136461796120. Its totient is φ = 973778075712.

The previous prime is 1055106101051. The next prime is 1055106101117. The reversal of 1055106101101 is 1011016015501.

It can be written as a sum of positive squares in 4 ways, for example, as 4688140900 + 1050417960201 = 68470^2 + 1024899^2 .

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

It is not a de Polignac number, because 1055106101101 - 2⁷ = 1055106100973 is a prime.

It is a super-2 number, since 2×1055106101101² (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 (1055106101131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6838170 + ... + 6990763.

It is an arithmetic number, because the mean of its divisors is an integer number (142057724515).

Almost surely, 2^{1055106101101} is an apocalyptic number.

It is an amenable number.

1055106101101 is a deficient number, since it is larger than the sum of its proper divisors (81355695019).

1055106101101 is a wasteful number, since it uses less digits than its factorization.

1055106101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13834815.

The product of its (nonzero) digits is 150, while the sum is 22.

The spelling of 1055106101101 in words is "one trillion, fifty-five billion, one hundred six million, one hundred one thousand, one hundred one".