101640848568 has 192 divisors, whose sum is σ = 298941269760. Its totient is φ = 28712162304.

The previous prime is 101640848549. The next prime is 101640848579. The reversal of 101640848568 is 865848046101.

It is a self number, because there is not a number n which added to its sum of digits gives 101640848568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78004605 + ... + 78005907.

It is an arithmetic number, because the mean of its divisors is an integer number (1556985780).

Almost surely, 2^101640848568 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 101640848568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149470634880).

101640848568 is an abundant number, since it is smaller than the sum of its proper divisors (197300421192).

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

101640848568 is a wasteful number, since it uses less digits than its factorization.

101640848568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 101640848568 in words is "one hundred one billion, six hundred forty million, eight hundred forty-eight thousand, five hundred sixty-eight".