10100605680 has 360 divisors, whose sum is σ = 37510724160. Its totient is φ = 2433868800.

The previous prime is 10100605673. The next prime is 10100605693. The reversal of 10100605680 is 8650600101.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23435065 + ... + 23435495.

It is an arithmetic number, because the mean of its divisors is an integer number (104196456).

Almost surely, 2^10100605680 is an apocalyptic number.

10100605680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100605680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18755362080).

10100605680 is an abundant number, since it is smaller than the sum of its proper divisors (27410118480).

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

10100605680 is a wasteful number, since it uses less digits than its factorization.

10100605680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10100605680 in words is "ten billion, one hundred million, six hundred five thousand, six hundred eighty".