105785853576 has 128 divisors (see below), whose sum is σ = 299965680000. Its totient is φ = 30819115008.

The previous prime is 105785853533. The next prime is 105785853619. The reversal of 105785853576 is 675358587501.

It is an interprime number because it is at equal distance from previous prime (105785853533) and next prime (105785853619).

It is a super-2 number, since 2×105785853576² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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, 13826200 + ... + 13833848.

It is an arithmetic number, because the mean of its divisors is an integer number (2343481875).

Almost surely, 2^105785853576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105785853576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149982840000).

105785853576 is an abundant number, since it is smaller than the sum of its proper divisors (194179826424).

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

105785853576 is a wasteful number, since it uses less digits than its factorization.

105785853576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10023 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 35280000, while the sum is 60.

The spelling of 105785853576 in words is "one hundred five billion, seven hundred eighty-five million, eight hundred fifty-three thousand, five hundred seventy-six".