106205361435 has 64 divisors (see below), whose sum is σ = 198912000000. Its totient is φ = 53617075200.

The previous prime is 106205361433. The next prime is 106205361467. The reversal of 106205361435 is 534163502601.

106205361435 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 0 + 5 + 3 + 614 + 35 = 666.

It is not a de Polignac number, because 106205361435 - 2¹ = 106205361433 is a prime.

It is a super-2 number, since 2×106205361435² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106205361435.

It is not an unprimeable number, because it can be changed into a prime (106205361433) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3187110 + ... + 3220260.

It is an arithmetic number, because the mean of its divisors is an integer number (3108000000).

Almost surely, 2^106205361435 is an apocalyptic number.

106205361435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106205361435 is a deficient number, since it is larger than the sum of its proper divisors (92706638565).

106205361435 is a wasteful number, since it uses less digits than its factorization.

106205361435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34433 (or 34427 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 106205361435 in words is "one hundred six billion, two hundred five million, three hundred sixty-one thousand, four hundred thirty-five".