105749364560 has 80 divisors (see below), whose sum is σ = 286969775616. Its totient is φ = 35485492224.

The previous prime is 105749364547. The next prime is 105749364563. The reversal of 105749364560 is 65463947501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105749364560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105749364499 and 105749364508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105749364563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1982597 + ... + 2035236.

Almost surely, 2^105749364560 is an apocalyptic number.

105749364560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105749364560 is an abundant number, since it is smaller than the sum of its proper divisors (181220411056).

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

105749364560 is a wasteful number, since it uses less digits than its factorization.

105749364560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017900 (or 4017894 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 105749364560 in words is "one hundred five billion, seven hundred forty-nine million, three hundred sixty-four thousand, five hundred sixty".