10105006510440 has 192 divisors, whose sum is σ = 34696575763200. Its totient is φ = 2546392321536.

The previous prime is 10105006510397. The next prime is 10105006510457. The reversal of 10105006510440 is 4401560050101.

10105006510440 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 0 + 0 + 651 + 0 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×10105006510440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9806262 + ... + 10787621.

It is an arithmetic number, because the mean of its divisors is an integer number (180711332100).

Almost surely, 2^{10105006510440} is an apocalyptic number.

10105006510440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105006510440 is an abundant number, since it is smaller than the sum of its proper divisors (24591569252760).

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

10105006510440 is a wasteful number, since it uses less digits than its factorization.

10105006510440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20593976 (or 20593969 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10105006510440 its reverse (4401560050101), we get a palindrome (14506566560541).

The spelling of 10105006510440 in words is "ten trillion, one hundred five billion, six million, five hundred ten thousand, four hundred forty".