105535235016 has 40 divisors (see below), whose sum is σ = 295596377670. Its totient is φ = 35178411456.

The previous prime is 105535234999. The next prime is 105535235021. The reversal of 105535235016 is 610532535501.

105535235016 is a `hidden beast` number, since 1 + 0 + 553 + 52 + 3 + 50 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72385750116 + 33149484900 = 269046^2 + 182070^2 .

It is a super-2 number, since 2×105535235016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81430861 + ... + 81432156.

Almost surely, 2^105535235016 is an apocalyptic number.

It is an amenable number.

105535235016 is an abundant number, since it is smaller than the sum of its proper divisors (190061142654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105535235016 is a wasteful number, since it uses less digits than its factorization.

105535235016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162863035 (or 162863022 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 105535235016 in words is "one hundred five billion, five hundred thirty-five million, two hundred thirty-five thousand, sixteen".