105400444016 has 40 divisors (see below), whose sum is σ = 236673851904. Its totient is φ = 44535395520.

The previous prime is 105400443997. The next prime is 105400444073. The reversal of 105400444016 is 610444004501.

105400444016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105400444016² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105400444016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6619340 + ... + 6635243.

Almost surely, 2^105400444016 is an apocalyptic number.

105400444016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105400444016 is an abundant number, since it is smaller than the sum of its proper divisors (131273407888).

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

105400444016 is a wasteful number, since it uses less digits than its factorization.

105400444016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13254669 (or 13254663 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 105400444016 its reverse (610444004501), we get a palindrome (715844448517).

The spelling of 105400444016 in words is "one hundred five billion, four hundred million, four hundred forty-four thousand, sixteen".