105604514016 has 48 divisors (see below), whose sum is σ = 277229859984. Its totient is φ = 35199217664.

The previous prime is 105604514009. The next prime is 105604514017. The reversal of 105604514016 is 610415406501.

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

It is a super-2 number, since 2×105604514016² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105604514017) 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, 2129050 + ... + 2178086.

It is an arithmetic number, because the mean of its divisors is an integer number (5775622083).

Almost surely, 2^105604514016 is an apocalyptic number.

105604514016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105604514016 is an abundant number, since it is smaller than the sum of its proper divisors (171625345968).

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

105604514016 is a wasteful number, since it uses less digits than its factorization.

105604514016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71483 (or 71475 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 105604514016 in words is "one hundred five billion, six hundred four million, five hundred fourteen thousand, sixteen".