10101730735684 has 81 divisors (see below), whose sum is σ = 20734379232861. Its totient is φ = 4293785889120.

The previous prime is 10101730735673. The next prime is 10101730735693. The reversal of 10101730735684 is 48653703710101.

The square root of 10101730735684 is 3178322.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4487067792900 + 5614662942784 = 2118270^2 + 2369528^2 .

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 26 ways as a sum of consecutive naturals, for example, 5829041682 + ... + 5829043414.

Almost surely, 2^{10101730735684} is an apocalyptic number.

10101730735684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10101730735684 is the 3178322-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101730735684

10101730735684 is an abundant number, since it is smaller than the sum of its proper divisors (10632648497177).

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

10101730735684 is an frugal number, since it uses more digits than its factorization.

10101730735684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 10101730735684 in words is "ten trillion, one hundred one billion, seven hundred thirty million, seven hundred thirty-five thousand, six hundred eighty-four".