10087629334305 has 16 divisors (see below), whose sum is σ = 16221313507200. Its totient is φ = 5353033454208.

The previous prime is 10087629334241. The next prime is 10087629334381. The reversal of 10087629334305 is 50343392678001.

It is not a de Polignac number, because 10087629334305 - 2⁶ = 10087629334241 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1689717172 + ... + 1689723141.

It is an arithmetic number, because the mean of its divisors is an integer number (1013832094200).

It is a 1-persistent number, because it is pandigital, but 2⋅10087629334305 = 20175258668610 is not.

Almost surely, 2^{10087629334305} is an apocalyptic number.

10087629334305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10087629334305 is a deficient number, since it is larger than the sum of its proper divisors (6133684172895).

10087629334305 is a wasteful number, since it uses less digits than its factorization.

10087629334305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379440520.

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 10087629334305 in words is "ten trillion, eighty-seven billion, six hundred twenty-nine million, three hundred thirty-four thousand, three hundred five".