101694671680 has 224 divisors, whose sum is σ = 293410916352. Its totient is φ = 32829235200.

The previous prime is 101694671671. The next prime is 101694671713. The reversal of 101694671680 is 86176496101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2549490 + ... + 2589070.

Almost surely, 2^101694671680 is an apocalyptic number.

101694671680 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 101694671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146705458176).

101694671680 is an abundant number, since it is smaller than the sum of its proper divisors (191716244672).

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

101694671680 is a wasteful number, since it uses less digits than its factorization.

101694671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39673 (or 39663 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 101694671680 in words is "one hundred one billion, six hundred ninety-four million, six hundred seventy-one thousand, six hundred eighty".