105083511533 has 48 divisors (see below), whose sum is σ = 142586895360. Its totient is φ = 75357596160.

The previous prime is 105083511457. The next prime is 105083511541. The reversal of 105083511533 is 335115380501.

It is not a de Polignac number, because 105083511533 - 2¹⁶ = 105083445997 is a prime.

It is a super-2 number, since 2×105083511533² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105083511493 and 105083511502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105083511733) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3696548 + ... + 3724866.

It is an arithmetic number, because the mean of its divisors is an integer number (2970560320).

Almost surely, 2^105083511533 is an apocalyptic number.

105083511533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105083511533 is a deficient number, since it is larger than the sum of its proper divisors (37503383827).

105083511533 is a wasteful number, since it uses less digits than its factorization.

105083511533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28698 (or 28687 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

It can be divided in two parts, 105083 and 511533, that added together give a palindrome (616616).

The spelling of 105083511533 in words is "one hundred five billion, eighty-three million, five hundred eleven thousand, five hundred thirty-three".