105350243664 has 40 divisors (see below), whose sum is σ = 272774793280. Its totient is φ = 35036748288.

The previous prime is 105350243539. The next prime is 105350243693. The reversal of 105350243664 is 466342053501.

It is a super-2 number, since 2×105350243664² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 2478697 + ... + 2520840.

It is an arithmetic number, because the mean of its divisors is an integer number (6819369832).

Almost surely, 2^105350243664 is an apocalyptic number.

It is an amenable number.

105350243664 is an abundant number, since it is smaller than the sum of its proper divisors (167424549616).

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

105350243664 is a wasteful number, since it uses less digits than its factorization.

105350243664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999987 (or 4999981 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 105350243664 in words is "one hundred five billion, three hundred fifty million, two hundred forty-three thousand, six hundred sixty-four".