105705909460 has 24 divisors (see below), whose sum is σ = 222911216640. Its totient is φ = 42105448224.

The previous prime is 105705909443. The next prime is 105705909479. The reversal of 105705909460 is 64909507501.

It is a super-2 number, since 2×105705909460² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105705909460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11052324 + ... + 11061883.

It is an arithmetic number, because the mean of its divisors is an integer number (9287967360).

Almost surely, 2^105705909460 is an apocalyptic number.

105705909460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105705909460 is an abundant number, since it is smaller than the sum of its proper divisors (117205307180).

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

105705909460 is a wasteful number, since it uses less digits than its factorization.

105705909460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22114455 (or 22114453 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 46.

The spelling of 105705909460 in words is "one hundred five billion, seven hundred five million, nine hundred nine thousand, four hundred sixty".