105535131405 has 128 divisors (see below), whose sum is σ = 189751099392. Its totient is φ = 49658400000.

The previous prime is 105535131397. The next prime is 105535131407. The reversal of 105535131405 is 504131535501.

It is not a de Polignac number, because 105535131405 - 2³ = 105535131397 is a prime.

It is a super-2 number, since 2×105535131405² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535131407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318837090 + ... + 318837420.

It is an arithmetic number, because the mean of its divisors is an integer number (1482430464).

Almost surely, 2^105535131405 is an apocalyptic number.

105535131405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105535131405 is a deficient number, since it is larger than the sum of its proper divisors (84215967987).

105535131405 is a wasteful number, since it uses less digits than its factorization.

105535131405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759.

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

Adding to 105535131405 its reverse (504131535501), we get a palindrome (609666666906).

The spelling of 105535131405 in words is "one hundred five billion, five hundred thirty-five million, one hundred thirty-one thousand, four hundred five".