105835305860 has 48 divisors (see below), whose sum is σ = 225365172480. Its totient is φ = 41744144640.

The previous prime is 105835305853. The next prime is 105835305871. The reversal of 105835305860 is 68503538501.

It is a super-2 number, since 2×105835305860² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572255 + ... + 734265.

It is an arithmetic number, because the mean of its divisors is an integer number (4695107760).

Almost surely, 2^105835305860 is an apocalyptic number.

105835305860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105835305860 is an abundant number, since it is smaller than the sum of its proper divisors (119529866620).

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

105835305860 is a wasteful number, since it uses less digits than its factorization.

105835305860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162476 (or 162474 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 105835305860 in words is "one hundred five billion, eight hundred thirty-five million, three hundred five thousand, eight hundred sixty".