105354234664 has 32 divisors (see below), whose sum is σ = 225787697280. Its totient is φ = 45146090304.

The previous prime is 105354234649. The next prime is 105354234673. The reversal of 105354234664 is 466432453501.

It is a happy number.

It is a super-2 number, since 2×105354234664² (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 105354234664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342174 + ... + 572530.

It is an arithmetic number, because the mean of its divisors is an integer number (7055865540).

Almost surely, 2^105354234664 is an apocalyptic number.

105354234664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105354234664 is an abundant number, since it is smaller than the sum of its proper divisors (120433462616).

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

105354234664 is a wasteful number, since it uses less digits than its factorization.

105354234664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238537 (or 238533 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 105354234664 in words is "one hundred five billion, three hundred fifty-four million, two hundred thirty-four thousand, six hundred sixty-four".