105853646580 has 96 divisors (see below), whose sum is σ = 337392857088. Its totient is φ = 24545769600.

The previous prime is 105853646567. The next prime is 105853646597. The reversal of 105853646580 is 85646358501.

It is a happy number.

It is a super-2 number, since 2×105853646580² (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, 3471436 + ... + 3501795.

It is an arithmetic number, because the mean of its divisors is an integer number (3514508928).

Almost surely, 2^105853646580 is an apocalyptic number.

105853646580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105853646580 is an abundant number, since it is smaller than the sum of its proper divisors (231539210508).

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

105853646580 is a wasteful number, since it uses less digits than its factorization.

105853646580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6973277 (or 6973275 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 105853646580 in words is "one hundred five billion, eight hundred fifty-three million, six hundred forty-six thousand, five hundred eighty".