105877416960 has 528 divisors, whose sum is σ = 426223916352. Its totient is φ = 23799398400.

The previous prime is 105877416937. The next prime is 105877416991. The reversal of 105877416960 is 69614778501.

105877416960 is a `hidden beast` number, since 10 + 587 + 7 + 41 + 6 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×105877416960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105877416897 and 105877416906.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19673470 + ... + 19678850.

Almost surely, 2^105877416960 is an apocalyptic number.

105877416960 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 105877416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213111958176).

105877416960 is an abundant number, since it is smaller than the sum of its proper divisors (320346499392).

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

105877416960 is a wasteful number, since it uses less digits than its factorization.

105877416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 105877416960 in words is "one hundred five billion, eight hundred seventy-seven million, four hundred sixteen thousand, nine hundred sixty".