10073410701075 has 84 divisors (see below), whose sum is σ = 18742527011368. Its totient is φ = 5368311676800.

The previous prime is 10073410701071. The next prime is 10073410701131. The reversal of 10073410701075 is 57010701437001.

10073410701075 is a `hidden beast` number, since 1 + 0 + 0 + 73 + 410 + 70 + 107 + 5 = 666.

It is not a de Polignac number, because 10073410701075 - 2² = 10073410701071 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10073410701071) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 23314407 + ... + 23742543.

Almost surely, 2^{10073410701075} is an apocalyptic number.

10073410701075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10073410701075 is a deficient number, since it is larger than the sum of its proper divisors (8669116310293).

10073410701075 is an equidigital number, since it uses as much as digits as its factorization.

10073410701075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429456 (or 429436 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 10073410701075 in words is "ten trillion, seventy-three billion, four hundred ten million, seven hundred one thousand, seventy-five".