105410321406 has 64 divisors (see below), whose sum is σ = 252466502400. Its totient is φ = 32407911648.

The previous prime is 105410321381. The next prime is 105410321461. The reversal of 105410321406 is 604123014501.

It is a happy number.

105410321406 is a `hidden beast` number, since 105 + 410 + 3 + 2 + 140 + 6 = 666.

It is a super-2 number, since 2×105410321406² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105410321406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824185 + ... + 943451.

It is an arithmetic number, because the mean of its divisors is an integer number (3944789100).

Almost surely, 2^105410321406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105410321406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126233251200).

105410321406 is an abundant number, since it is smaller than the sum of its proper divisors (147056180994).

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

105410321406 is a wasteful number, since it uses less digits than its factorization.

105410321406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120550 (or 120544 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 105410321406 its reverse (604123014501), we get a palindrome (709533335907).

The spelling of 105410321406 in words is "one hundred five billion, four hundred ten million, three hundred twenty-one thousand, four hundred six".