105121021344 has 48 divisors (see below), whose sum is σ = 276938934048. Its totient is φ = 34913832192.

The previous prime is 105121021337. The next prime is 105121021349. The reversal of 105121021344 is 443120121501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105121021344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105121021349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1949962 + ... + 2003145.

It is an arithmetic number, because the mean of its divisors is an integer number (5769561126).

Almost surely, 2^105121021344 is an apocalyptic number.

It is an amenable number.

105121021344 is an abundant number, since it is smaller than the sum of its proper divisors (171817912704).

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

105121021344 is a wasteful number, since it uses less digits than its factorization.

105121021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953397 (or 3953389 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 105121021344 its reverse (443120121501), we get a palindrome (548241142845).

The spelling of 105121021344 in words is "one hundred five billion, one hundred twenty-one million, twenty-one thousand, three hundred forty-four".