105011486760960 has 2240 divisors, whose sum is σ = 430545869107200. Its totient is φ = 24271606775808.

The previous prime is 105011486760949. The next prime is 105011486760997. The reversal of 105011486760960 is 69067684110501.

105011486760960 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 1 + 1 + 486 + 76 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×105011486760960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 105011486760897 and 105011486760906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 104074812936 + ... + 104074813944.

It is an arithmetic number, because the mean of its divisors is an integer number (192207977280).

Almost surely, 2^{105011486760960} is an apocalyptic number.

105011486760960 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 105011486760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215272934553600).

105011486760960 is an abundant number, since it is smaller than the sum of its proper divisors (325534382346240).

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

105011486760960 is a wasteful number, since it uses less digits than its factorization.

105011486760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 105011486760960 in words is "one hundred five trillion, eleven billion, four hundred eighty-six million, seven hundred sixty thousand, nine hundred sixty".