105513745540 has 24 divisors (see below), whose sum is σ = 253232989632. Its totient is φ = 36176141280.

The previous prime is 105513745537. The next prime is 105513745559. The reversal of 105513745540 is 45547315501.

It is a happy number.

It is a super-2 number, since 2×105513745540² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105513745493 and 105513745502.

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 7 ways as a sum of consecutive naturals, for example, 376834666 + ... + 376834945.

It is an arithmetic number, because the mean of its divisors is an integer number (10551374568).

Almost surely, 2^105513745540 is an apocalyptic number.

105513745540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105513745540 is an abundant number, since it is smaller than the sum of its proper divisors (147719244092).

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

105513745540 is a wasteful number, since it uses less digits than its factorization.

105513745540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753669627 (or 753669625 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 40.

The spelling of 105513745540 in words is "one hundred five billion, five hundred thirteen million, seven hundred forty-five thousand, five hundred forty".