10005105103510 has 16 divisors (see below), whose sum is σ = 19646388203472. Its totient is φ = 3638220037600.

The previous prime is 10005105103421. The next prime is 10005105103529. The reversal of 10005105103510 is 1530150150001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 45477750361 + ... + 45477750580.

It is an arithmetic number, because the mean of its divisors is an integer number (1227899262717).

Almost surely, 2^{10005105103510} is an apocalyptic number.

10005105103510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005105103510 is a deficient number, since it is larger than the sum of its proper divisors (9641283099962).

10005105103510 is a wasteful number, since it uses less digits than its factorization.

10005105103510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90955500959.

The product of its (nonzero) digits is 375, while the sum is 22.

Adding to 10005105103510 its reverse (1530150150001), we get a palindrome (11535255253511).

The spelling of 10005105103510 in words is "ten trillion, five billion, one hundred five million, one hundred three thousand, five hundred ten".