105350249464 has 16 divisors (see below), whose sum is σ = 203903709120. Its totient is φ = 50975927040.

The previous prime is 105350249413. The next prime is 105350249479. The reversal of 105350249464 is 464942053501.

It is a super-2 number, since 2×105350249464² (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 105350249464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212399449 + ... + 212399944.

It is an arithmetic number, because the mean of its divisors is an integer number (12743981820).

Almost surely, 2^105350249464 is an apocalyptic number.

It is an amenable number.

105350249464 is a deficient number, since it is larger than the sum of its proper divisors (98553459656).

105350249464 is a wasteful number, since it uses less digits than its factorization.

105350249464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424799430 (or 424799426 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 105350249464 in words is "one hundred five billion, three hundred fifty million, two hundred forty-nine thousand, four hundred sixty-four".