105055977130560 has 672 divisors, whose sum is σ = 382933943808000. Its totient is φ = 26361559683072.

The previous prime is 105055977130499. The next prime is 105055977130561. The reversal of 105055977130560 is 65031779550501.

It is a happy number.

105055977130560 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 5 + 9 + 7 + 71 + 3 + 0 + 560 = 666.

It is a super-2 number, since 2×105055977130560² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105055977130497 and 105055977130506.

It is not an unprimeable number, because it can be changed into a prime (105055977130561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22646252721 + ... + 22646257359.

Almost surely, 2^{105055977130560} is an apocalyptic number.

105055977130560 is a gapful number since it is divisible by the number (10) 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 105055977130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191466971904000).

105055977130560 is an abundant number, since it is smaller than the sum of its proper divisors (277877966677440).

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

105055977130560 is a wasteful number, since it uses less digits than its factorization.

105055977130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7383 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 4961250, while the sum is 54.

The spelling of 105055977130560 in words is "one hundred five trillion, fifty-five billion, nine hundred seventy-seven million, one hundred thirty thousand, five hundred sixty".