105540511533 has 8 divisors (see below), whose sum is σ = 141268234368. Its totient is φ = 70086564864.

The previous prime is 105540511397. The next prime is 105540511603. The reversal of 105540511533 is 335115045501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105540511533 - 2⁸ = 105540511277 is a prime.

It is a super-2 number, since 2×105540511533² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105540511494 and 105540511503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105540511633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68443141 + ... + 68444682.

It is an arithmetic number, because the mean of its divisors is an integer number (17658529296).

Almost surely, 2^105540511533 is an apocalyptic number.

It is an amenable number.

105540511533 is a deficient number, since it is larger than the sum of its proper divisors (35727722835).

105540511533 is a wasteful number, since it uses less digits than its factorization.

105540511533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136888083.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 105540511533 in words is "one hundred five billion, five hundred forty million, five hundred eleven thousand, five hundred thirty-three".