105523403553 has 24 divisors (see below), whose sum is σ = 155794399488. Its totient is φ = 68795238912.

The previous prime is 105523403543. The next prime is 105523403569. The reversal of 105523403553 is 355304325501.

105523403553 is a `hidden beast` number, since 10 + 5 + 52 + 3 + 40 + 3 + 553 = 666.

It is not a de Polignac number, because 105523403553 - 2¹⁶ = 105523338017 is a prime.

It is a super-2 number, since 2×105523403553² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105523403543) 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, 412300 + ... + 617282.

It is an arithmetic number, because the mean of its divisors is an integer number (6491433312).

Almost surely, 2^105523403553 is an apocalyptic number.

It is an amenable number.

105523403553 is a deficient number, since it is larger than the sum of its proper divisors (50270995935).

105523403553 is a wasteful number, since it uses less digits than its factorization.

105523403553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206253 (or 206250 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 105523403553 in words is "one hundred five billion, five hundred twenty-three million, four hundred three thousand, five hundred fifty-three".