105416283419136 has 240 divisors, whose sum is σ = 304697231879040. Its totient is φ = 35085821829120.

The previous prime is 105416283419129. The next prime is 105416283419141. The reversal of 105416283419136 is 631914382614501.

105416283419136 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 628 + 3 + 4 + 1 + 9 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×105416283419136² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11189495706 + ... + 11189505126.

It is an arithmetic number, because the mean of its divisors is an integer number (1269571799496).

Almost surely, 2^{105416283419136} is an apocalyptic number.

105416283419136 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 105416283419136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152348615939520).

105416283419136 is an abundant number, since it is smaller than the sum of its proper divisors (199280948459904).

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

105416283419136 is a wasteful number, since it uses less digits than its factorization.

105416283419136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12847 (or 12828 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 105416283419136 in words is "one hundred five trillion, four hundred sixteen billion, two hundred eighty-three million, four hundred nineteen thousand, one hundred thirty-six".