105065555650 has 24 divisors (see below), whose sum is σ = 213187564944. Its totient is φ = 38205656400.

The previous prime is 105065555633. The next prime is 105065555687. The reversal of 105065555650 is 56555560501.

It is a super-2 number, since 2×105065555650² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105065555597 and 105065555606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95513592 + ... + 95514691.

It is an arithmetic number, because the mean of its divisors is an integer number (8882815206).

Almost surely, 2^105065555650 is an apocalyptic number.

105065555650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105065555650 is an abundant number, since it is smaller than the sum of its proper divisors (108122009294).

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

105065555650 is a wasteful number, since it uses less digits than its factorization.

105065555650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191028306 (or 191028301 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 43.

The spelling of 105065555650 in words is "one hundred five billion, sixty-five million, five hundred fifty-five thousand, six hundred fifty".