101105454465 has 12 divisors (see below), whose sum is σ = 175249454484. Its totient is φ = 53922909024.

The previous prime is 101105454431. The next prime is 101105454467. The reversal of 101105454465 is 564454501101.

101105454465 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 54 + 544 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29476425969 + 71629028496 = 171687^2 + 267636^2 .

It is not a de Polignac number, because 101105454465 - 2¹⁷ = 101105323393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101105454467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1123393894 + ... + 1123393983.

It is an arithmetic number, because the mean of its divisors is an integer number (14604121207).

Almost surely, 2^101105454465 is an apocalyptic number.

101105454465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101105454465 is a deficient number, since it is larger than the sum of its proper divisors (74144000019).

101105454465 is a wasteful number, since it uses less digits than its factorization.

101105454465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246787888 (or 2246787885 counting only the distinct ones).

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

Adding to 101105454465 its reverse (564454501101), we get a palindrome (665559955566).

The spelling of 101105454465 in words is "one hundred one billion, one hundred five million, four hundred fifty-four thousand, four hundred sixty-five".