105747335060 has 48 divisors (see below), whose sum is σ = 231757134336. Its totient is φ = 40454168832.

The previous prime is 105747335059. The next prime is 105747335077. The reversal of 105747335060 is 60533747501.

It is a happy number.

105747335060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105747335060² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105747334999 and 105747335017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4868384 + ... + 4890056.

It is an arithmetic number, because the mean of its divisors is an integer number (4828273632).

Almost surely, 2^105747335060 is an apocalyptic number.

105747335060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105747335060 is an abundant number, since it is smaller than the sum of its proper divisors (126009799276).

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

105747335060 is a wasteful number, since it uses less digits than its factorization.

105747335060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32312 (or 32310 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 41.

The spelling of 105747335060 in words is "one hundred five billion, seven hundred forty-seven million, three hundred thirty-five thousand, sixty".