101816650640 has 80 divisors (see below), whose sum is σ = 242089527600. Its totient is φ = 39809243136.

The previous prime is 101816650633. The next prime is 101816650657. The reversal of 101816650640 is 46056618101.

It can be written as a sum of positive squares in 8 ways, for example, as 9296045056 + 92520605584 = 96416^2 + 304172^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 101816650594 and 101816650603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095926 + ... + 1185194.

It is an arithmetic number, because the mean of its divisors is an integer number (3026119095).

Almost surely, 2^101816650640 is an apocalyptic number.

101816650640 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 101816650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121044763800).

101816650640 is an abundant number, since it is smaller than the sum of its proper divisors (140272876960).

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

101816650640 is a wasteful number, since it uses less digits than its factorization.

101816650640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89604 (or 89598 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 101816650640 in words is "one hundred one billion, eight hundred sixteen million, six hundred fifty thousand, six hundred forty".