101646660032 has 56 divisors (see below), whose sum is σ = 214186367664. Its totient is φ = 47695695872.

The previous prime is 101646659953. The next prime is 101646660053. The reversal of 101646660032 is 230066646101.

It is a junction number, because it is equal to n+sod(n) for n = 101646659974 and 101646660001.

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 7 ways as a sum of consecutive naturals, for example, 242918 + ... + 512154.

Almost surely, 2^101646660032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101646660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107093183832).

101646660032 is an abundant number, since it is smaller than the sum of its proper divisors (112539707632).

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

101646660032 is a wasteful number, since it uses less digits than its factorization.

101646660032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269613 (or 269603 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 101646660032 in words is "one hundred one billion, six hundred forty-six million, six hundred sixty thousand, thirty-two".