105455221461 has 16 divisors (see below), whose sum is σ = 156900481920. Its totient is φ = 70001745120.

The previous prime is 105455221441. The next prime is 105455221507. The reversal of 105455221461 is 164122554501.

105455221461 is a `hidden beast` number, since 1 + 0 + 545 + 52 + 2 + 1 + 4 + 61 = 666.

It is not a de Polignac number, because 105455221461 - 2⁶ = 105455221397 is a prime.

It is a super-2 number, since 2×105455221461² (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 (105455221441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8375145 + ... + 8387726.

It is an arithmetic number, because the mean of its divisors is an integer number (9806280120).

Almost surely, 2^105455221461 is an apocalyptic number.

It is an amenable number.

105455221461 is a deficient number, since it is larger than the sum of its proper divisors (51445260459).

105455221461 is a wasteful number, since it uses less digits than its factorization.

105455221461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16763113 (or 16763107 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 105455221461 its reverse (164122554501), we get a palindrome (269577775962).

The spelling of 105455221461 in words is "one hundred five billion, four hundred fifty-five million, two hundred twenty-one thousand, four hundred sixty-one".