101320455405105 has 24 divisors (see below), whose sum is σ = 175722997118760. Its totient is φ = 54006537934080.

The previous prime is 101320455405079. The next prime is 101320455405107. The reversal of 101320455405105 is 501504554023101.

101320455405105 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 0 + 4 + 5 + 540 + 5 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7368358238784 + 93952097166321 = 2714472^2 + 9692889^2 .

It is not a de Polignac number, because 101320455405105 - 2⁵ = 101320455405073 is a prime.

It is a super-2 number, since 2×101320455405105² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101320455405105.

It is not an unprimeable number, because it can be changed into a prime (101320455405107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646551660 + ... + 646708349.

It is an arithmetic number, because the mean of its divisors is an integer number (7321791546615).

Almost surely, 2^{101320455405105} is an apocalyptic number.

101320455405105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101320455405105 is a deficient number, since it is larger than the sum of its proper divisors (74402541713655).

101320455405105 is a wasteful number, since it uses less digits than its factorization.

101320455405105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293261761 (or 1293261758 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 101320455405105 in words is "one hundred one trillion, three hundred twenty billion, four hundred fifty-five million, four hundred five thousand, one hundred five".