105418454401 has 8 divisors (see below), whose sum is σ = 120205658664. Its totient is φ = 91585263360.

The previous prime is 105418454387. The next prime is 105418454419. The reversal of 105418454401 is 104454814501.

It can be written as a sum of positive squares in 4 ways, for example, as 1296072001 + 104122382400 = 36001^2 + 322680^2 .

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 105418454401 - 2²⁵ = 105384899969 is a prime.

It is a super-2 number, since 2×105418454401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105418454431) 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, 238503070 + ... + 238503511.

It is an arithmetic number, because the mean of its divisors is an integer number (15025707333).

Almost surely, 2^105418454401 is an apocalyptic number.

It is an amenable number.

105418454401 is a deficient number, since it is larger than the sum of its proper divisors (14787204263).

105418454401 is a wasteful number, since it uses less digits than its factorization.

105418454401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477006611.

The product of its (nonzero) digits is 51200, while the sum is 37.

The spelling of 105418454401 in words is "one hundred five billion, four hundred eighteen million, four hundred fifty-four thousand, four hundred one".