101344999860 has 216 divisors, whose sum is σ = 351682354296. Its totient is φ = 23478865920.

The previous prime is 101344999787. The next prime is 101344999867. The reversal of 101344999860 is 68999443101.

It is a happy number.

101344999860 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 499 + 98 + 60 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 22930439184 + 78414560676 = 151428^2 + 280026^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101344999797 and 101344999806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101344999867) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 601330 + ... + 751190.

Almost surely, 2^101344999860 is an apocalyptic number.

101344999860 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 101344999860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175841177148).

101344999860 is an abundant number, since it is smaller than the sum of its proper divisors (250337354436).

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

101344999860 is a wasteful number, since it uses less digits than its factorization.

101344999860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149923 (or 149901 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 101344999860 in words is "one hundred one billion, three hundred forty-four million, nine hundred ninety-nine thousand, eight hundred sixty".