105163076874240 has 2496 divisors, whose sum is σ = 481409745223680. Its totient is φ = 21383467499520.

The previous prime is 105163076874091. The next prime is 105163076874241. The reversal of 105163076874240 is 42478670361501.

105163076874240 is a `hidden beast` number, since 1 + 0 + 5 + 16 + 307 + 6 + 87 + 4 + 240 = 666.

It is a super-2 number, since 2×105163076874240² (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 not an unprimeable number, because it can be changed into a prime (105163076874241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18010457241 + ... + 18010463079.

It is an arithmetic number, because the mean of its divisors is an integer number (192872494080).

Almost surely, 2^{105163076874240} is an apocalyptic number.

105163076874240 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 105163076874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240704872611840).

105163076874240 is an abundant number, since it is smaller than the sum of its proper divisors (376246668349440).

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

105163076874240 is an equidigital number, since it uses as much as digits as its factorization.

105163076874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 105163076874240 in words is "one hundred five trillion, one hundred sixty-three billion, seventy-six million, eight hundred seventy-four thousand, two hundred forty".