105460505640 has 192 divisors, whose sum is σ = 405217987200. Its totient is φ = 23274026496.

The previous prime is 105460505629. The next prime is 105460505641. The reversal of 105460505640 is 46505064501.

105460505640 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 6 + 0 + 5 + 0 + 5 + 640 = 666.

It is a super-2 number, since 2×105460505640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105460505595 and 105460505604.

It is not an unprimeable number, because it can be changed into a prime (105460505641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648462 + ... + 794621.

It is an arithmetic number, because the mean of its divisors is an integer number (2110510350).

Almost surely, 2^105460505640 is an apocalyptic number.

105460505640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105460505640 is an abundant number, since it is smaller than the sum of its proper divisors (299757481560).

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

105460505640 is a wasteful number, since it uses less digits than its factorization.

105460505640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443136 (or 1443129 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 105460505640 in words is "one hundred five billion, four hundred sixty million, five hundred five thousand, six hundred forty".