105514077966336 has 4160 divisors, whose sum is σ = 410005970035200. Its totient is φ = 26638226030592.

The previous prime is 105514077966331. The next prime is 105514077966403. The reversal of 105514077966336 is 633669770415501.

105514077966336 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 140 + 77 + 96 + 6 + 336 = 666.

It is a super-2 number, since 2×105514077966336² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105514077966331) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1185551437780 + ... + 1185551437868.

Almost surely, 2^{105514077966336} is an apocalyptic number.

105514077966336 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 105514077966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205002985017600).

105514077966336 is an abundant number, since it is smaller than the sum of its proper divisors (304491892068864).

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

105514077966336 is a wasteful number, since it uses less digits than its factorization.

105514077966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 105514077966336 in words is "one hundred five trillion, five hundred fourteen billion, seventy-seven million, nine hundred sixty-six thousand, three hundred thirty-six".