101680742016 has 512 divisors, whose sum is σ = 361390080000. Its totient is φ = 28104330240.

The previous prime is 101680741999. The next prime is 101680742027. The reversal of 101680742016 is 610247086101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36746265 + ... + 36749031.

It is an arithmetic number, because the mean of its divisors is an integer number (705840000).

Almost surely, 2^101680742016 is an apocalyptic number.

101680742016 is a gapful number since it is divisible by the number (16) 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 101680742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180695040000).

101680742016 is an abundant number, since it is smaller than the sum of its proper divisors (259709337984).

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

101680742016 is an equidigital number, since it uses as much as digits as its factorization.

101680742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 101680742016 in words is "one hundred one billion, six hundred eighty million, seven hundred forty-two thousand, sixteen".