1105011100061 has 48 divisors (see below), whose sum is σ = 1252642439664. Its totient is φ = 973716480000.

The previous prime is 1105011100057. The next prime is 1105011100117. The reversal of 1105011100061 is 1600011105011.

It can be written as a sum of positive squares in 8 ways, for example, as 482095537561 + 622915562500 = 694331^2 + 789250^2 .

It is not a de Polignac number, because 1105011100061 - 2² = 1105011100057 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105011102061) 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 47 ways as a sum of consecutive naturals, for example, 122217701 + ... + 122226741.

It is an arithmetic number, because the mean of its divisors is an integer number (26096717493).

Almost surely, 2^{1105011100061} is an apocalyptic number.

1105011100061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1105011100061 is a deficient number, since it is larger than the sum of its proper divisors (147631339603).

1105011100061 is a wasteful number, since it uses less digits than its factorization.

1105011100061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9363 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 1105011100061 its reverse (1600011105011), we get a palindrome (2705022205072).

It can be divided in two parts, 11050 and 11100061, that added together give a palindrome (11111111).

The spelling of 1105011100061 in words is "one trillion, one hundred five billion, eleven million, one hundred thousand, sixty-one".