105413688140 has 12 divisors (see below), whose sum is σ = 221368745136. Its totient is φ = 42165475248.

The previous prime is 105413688139. The next prime is 105413688151. The reversal of 105413688140 is 41886314501.

It is a super-2 number, since 2×105413688140² (a number of 23 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 2635342184 + ... + 2635342223.

It is an arithmetic number, because the mean of its divisors is an integer number (18447395428).

Almost surely, 2^105413688140 is an apocalyptic number.

105413688140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105413688140 is an abundant number, since it is smaller than the sum of its proper divisors (115955056996).

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

105413688140 is a wasteful number, since it uses less digits than its factorization.

105413688140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270684416 (or 5270684414 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 105413688140 in words is "one hundred five billion, four hundred thirteen million, six hundred eighty-eight thousand, one hundred forty".