105865821120 has 112 divisors (see below), whose sum is σ = 343940952960. Its totient is φ = 27574342656.

The previous prime is 105865821073. The next prime is 105865821167. The reversal of 105865821120 is 21128568501.

It is an interprime number because it is at equal distance from previous prime (105865821073) and next prime (105865821167).

It is a super-2 number, since 2×105865821120² (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 15 ways as a sum of consecutive naturals, for example, 1241010 + ... + 1323569.

Almost surely, 2^105865821120 is an apocalyptic number.

105865821120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105865821120 is an abundant number, since it is smaller than the sum of its proper divisors (238075131840).

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

105865821120 is a wasteful number, since it uses less digits than its factorization.

105865821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564642 (or 2564632 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The spelling of 105865821120 in words is "one hundred five billion, eight hundred sixty-five million, eight hundred twenty-one thousand, one hundred twenty".