105905894735 has 32 divisors (see below), whose sum is σ = 133628866560. Its totient is φ = 80469849600.

The previous prime is 105905894729. The next prime is 105905894767. The reversal of 105905894735 is 537498509501.

It is a happy number.

It is not a de Polignac number, because 105905894735 - 2⁶ = 105905894671 is a prime.

It is a super-2 number, since 2×105905894735² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5761319 + ... + 5779671.

It is an arithmetic number, because the mean of its divisors is an integer number (4175902080).

Almost surely, 2^105905894735 is an apocalyptic number.

105905894735 is a deficient number, since it is larger than the sum of its proper divisors (27722971825).

105905894735 is a wasteful number, since it uses less digits than its factorization.

105905894735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19079.

The product of its (nonzero) digits is 6804000, while the sum is 56.

The spelling of 105905894735 in words is "one hundred five billion, nine hundred five million, eight hundred ninety-four thousand, seven hundred thirty-five".