101860083480960 has 2048 divisors, whose sum is σ = 426871962316800. Its totient is φ = 22473709977600.

The previous prime is 101860083480889. The next prime is 101860083480971. The reversal of 101860083480960 is 69084380068101.

101860083480960 is a `hidden beast` number, since 1 + 0 + 1 + 86 + 0 + 0 + 83 + 480 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 101860083480897 and 101860083480906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 241947941550 + ... + 241947941970.

It is an arithmetic number, because the mean of its divisors is an integer number (208433575350).

Almost surely, 2^{101860083480960} is an apocalyptic number.

101860083480960 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 101860083480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213435981158400).

101860083480960 is an abundant number, since it is smaller than the sum of its proper divisors (325011878835840).

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

101860083480960 is a wasteful number, since it uses less digits than its factorization.

101860083480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 101860083480960 in words is "one hundred one trillion, eight hundred sixty billion, eighty-three million, four hundred eighty thousand, nine hundred sixty".