101105404461 has 48 divisors (see below), whose sum is σ = 155902546800. Its totient is φ = 62918221824.

The previous prime is 101105404409. The next prime is 101105404481. The reversal of 101105404461 is 164404501101.

101105404461 is a `hidden beast` number, since 1 + 0 + 110 + 540 + 4 + 4 + 6 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31433162436 + 69672242025 = 177294^2 + 263955^2 .

It is not a de Polignac number, because 101105404461 - 2⁷ = 101105404333 is a prime.

It is a super-2 number, since 2×101105404461² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101105404481) 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 47 ways as a sum of consecutive naturals, for example, 43786375 + ... + 43788683.

It is an arithmetic number, because the mean of its divisors is an integer number (3247969725).

Almost surely, 2^101105404461 is an apocalyptic number.

It is an amenable number.

101105404461 is a deficient number, since it is larger than the sum of its proper divisors (54797142339).

101105404461 is a wasteful number, since it uses less digits than its factorization.

101105404461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 101105404461 its reverse (164404501101), we get a palindrome (265509905562).

The spelling of 101105404461 in words is "one hundred one billion, one hundred five million, four hundred four thousand, four hundred sixty-one".