105018271424640 has 1536 divisors, whose sum is σ = 455464680652800. Its totient is φ = 22573035749376.

The previous prime is 105018271424639. The next prime is 105018271424707. The reversal of 105018271424640 is 46424172810501.

105018271424640 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 1 + 82 + 71 + 42 + 464 + 0 = 666.

It is a super-2 number, since 2×105018271424640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38623857201 + ... + 38623859919.

It is an arithmetic number, because the mean of its divisors is an integer number (296526484800).

Almost surely, 2^{105018271424640} is an apocalyptic number.

105018271424640 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 105018271424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227732340326400).

105018271424640 is an abundant number, since it is smaller than the sum of its proper divisors (350446409228160).

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

105018271424640 is a wasteful number, since it uses less digits than its factorization.

105018271424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 105018271424640 in words is "one hundred five trillion, eighteen billion, two hundred seventy-one million, four hundred twenty-four thousand, six hundred forty".