105870116771880 has 64 divisors (see below), whose sum is σ = 318520408752000. Its totient is φ = 28151137056000.

The previous prime is 105870116771879. The next prime is 105870116771897. The reversal of 105870116771880 is 88177611078501.

It is a happy number.

It is a super-2 number, since 2×105870116771880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1263927996 + ... + 1264011755.

It is an arithmetic number, because the mean of its divisors is an integer number (4976881386750).

Almost surely, 2^{105870116771880} is an apocalyptic number.

105870116771880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105870116771880 is an abundant number, since it is smaller than the sum of its proper divisors (212650291980120).

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

105870116771880 is a wasteful number, since it uses less digits than its factorization.

105870116771880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527940114 (or 2527940110 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 60.

The spelling of 105870116771880 in words is "one hundred five trillion, eight hundred seventy billion, one hundred sixteen million, seven hundred seventy-one thousand, eight hundred eighty".