105357791616 has 128 divisors (see below), whose sum is σ = 348912264960. Its totient is φ = 27365652480.

The previous prime is 105357791611. The next prime is 105357791629. The reversal of 105357791616 is 616197753501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105357791616² (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 (105357791611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1752051 + ... + 1811186.

It is an arithmetic number, because the mean of its divisors is an integer number (2725877070).

Almost surely, 2^105357791616 is an apocalyptic number.

105357791616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105357791616 is an abundant number, since it is smaller than the sum of its proper divisors (243554473344).

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

105357791616 is a wasteful number, since it uses less digits than its factorization.

105357791616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563272 (or 3563260 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 51.

The spelling of 105357791616 in words is "one hundred five billion, three hundred fifty-seven million, seven hundred ninety-one thousand, six hundred sixteen".