105187765340284 has 96 divisors (see below), whose sum is σ = 213893153736192. Its totient is φ = 44732196864000.

The previous prime is 105187765340183. The next prime is 105187765340303. The reversal of 105187765340284 is 482043567781501.

It is a super-2 number, since 2×105187765340284² (a number of 29 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, 186091729 + ... + 186656119.

It is an arithmetic number, because the mean of its divisors is an integer number (2228053684752).

Almost surely, 2^{105187765340284} is an apocalyptic number.

It is an amenable number.

105187765340284 is an abundant number, since it is smaller than the sum of its proper divisors (108705388395908).

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

105187765340284 is a wasteful number, since it uses less digits than its factorization.

105187765340284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565907 (or 565905 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 61.

The spelling of 105187765340284 in words is "one hundred five trillion, one hundred eighty-seven billion, seven hundred sixty-five million, three hundred forty thousand, two hundred eighty-four".