105418085616 has 60 divisors (see below), whose sum is σ = 295058013640. Its totient is φ = 35135337600.

The previous prime is 105418085593. The next prime is 105418085639. The reversal of 105418085616 is 616580814501.

105418085616 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 80 + 8 + 561 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (105418085593) and next prime (105418085639).

It is a super-2 number, since 2×105418085616² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1388775 + ... + 1462713.

Almost surely, 2^105418085616 is an apocalyptic number.

105418085616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105418085616 is an abundant number, since it is smaller than the sum of its proper divisors (189639928024).

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

105418085616 is a wasteful number, since it uses less digits than its factorization.

105418085616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83854 (or 83845 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 105418085616 in words is "one hundred five billion, four hundred eighteen million, eighty-five thousand, six hundred sixteen".