105413500512 has 36 divisors (see below), whose sum is σ = 299769642900. Its totient is φ = 35137833408.

The previous prime is 105413500459. The next prime is 105413500513. The reversal of 105413500512 is 215005314501.

105413500512 is a `hidden beast` number, since 10 + 5 + 4 + 135 + 0 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105413500512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105413500513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183009262 + ... + 183009837.

It is an arithmetic number, because the mean of its divisors is an integer number (8326934525).

Almost surely, 2^105413500512 is an apocalyptic number.

105413500512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105413500512 is an abundant number, since it is smaller than the sum of its proper divisors (194356142388).

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

105413500512 is a wasteful number, since it uses less digits than its factorization.

105413500512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366019115 (or 366019104 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 105413500512 in words is "one hundred five billion, four hundred thirteen million, five hundred thousand, five hundred twelve".