105420364016 has 80 divisors (see below), whose sum is σ = 227873852640. Its totient is φ = 46838338560.

The previous prime is 105420363967. The next prime is 105420364019. The reversal of 105420364016 is 610463024501.

It is a super-3 number, since 3×105420364016³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105420364019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2488226 + ... + 2530238.

It is an arithmetic number, because the mean of its divisors is an integer number (2848423158).

Almost surely, 2^105420364016 is an apocalyptic number.

105420364016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105420364016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113936926320).

105420364016 is an abundant number, since it is smaller than the sum of its proper divisors (122453488624).

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

105420364016 is a wasteful number, since it uses less digits than its factorization.

105420364016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42354 (or 42348 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 105420364016 its reverse (610463024501), we get a palindrome (715883388517).

The spelling of 105420364016 in words is "one hundred five billion, four hundred twenty million, three hundred sixty-four thousand, sixteen".