105402435135 has 16 divisors (see below), whose sum is σ = 168990199296. Its totient is φ = 56099197728.

The previous prime is 105402435101. The next prime is 105402435161. The reversal of 105402435135 is 531534204501.

It is not a de Polignac number, because 105402435135 - 2⁹ = 105402434623 is a prime.

It is a super-2 number, since 2×105402435135² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105402435096 and 105402435105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7207099 + ... + 7221708.

It is an arithmetic number, because the mean of its divisors is an integer number (10561887456).

Almost surely, 2^105402435135 is an apocalyptic number.

105402435135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105402435135 is a deficient number, since it is larger than the sum of its proper divisors (63587764161).

105402435135 is a wasteful number, since it uses less digits than its factorization.

105402435135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14429302.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 105402435135 its reverse (531534204501), we get a palindrome (636936639636).

The spelling of 105402435135 in words is "one hundred five billion, four hundred two million, four hundred thirty-five thousand, one hundred thirty-five".