105010334569384 has 128 divisors (see below), whose sum is σ = 215395229548800. Its totient is φ = 47863143792640.

The previous prime is 105010334569381. The next prime is 105010334569451. The reversal of 105010334569384 is 483965433010501.

It is a super-4 number, since 4×105010334569384⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105010334569381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54785352 + ... + 56669704.

It is an arithmetic number, because the mean of its divisors is an integer number (1682775230850).

Almost surely, 2^{105010334569384} is an apocalyptic number.

It is an amenable number.

105010334569384 is an abundant number, since it is smaller than the sum of its proper divisors (110384894979416).

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

105010334569384 is a wasteful number, since it uses less digits than its factorization.

105010334569384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884595 (or 1884591 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

Adding to 105010334569384 its reverse (483965433010501), we get a palindrome (588975767579885).

The spelling of 105010334569384 in words is "one hundred five trillion, ten billion, three hundred thirty-four million, five hundred sixty-nine thousand, three hundred eighty-four".