105120434054064 has 160 divisors (see below), whose sum is σ = 327659459952384. Its totient is φ = 28609605872640.

The previous prime is 105120434054059. The next prime is 105120434054143. The reversal of 105120434054064 is 460450434021501.

It is a super-2 number, since 2×105120434054064² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 206702094 + ... + 207210029.

Almost surely, 2^{105120434054064} is an apocalyptic number.

It is an amenable number.

105120434054064 is an abundant number, since it is smaller than the sum of its proper divisors (222539025898320).

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

105120434054064 is a wasteful number, since it uses less digits than its factorization.

105120434054064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413912195 (or 413912189 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 105120434054064 its reverse (460450434021501), we get a palindrome (565570868075565).

The spelling of 105120434054064 in words is "one hundred five trillion, one hundred twenty billion, four hundred thirty-four million, fifty-four thousand, sixty-four".