106710814800 has 480 divisors, whose sum is σ = 396503372160. Its totient is φ = 27232358400.

The previous prime is 106710814799. The next prime is 106710814807. The reversal of 106710814800 is 8418017601.

106710814800 is a `hidden beast` number, since 10 + 67 + 108 + 1 + 480 + 0 = 666.

It is a super-2 number, since 2×106710814800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106710814807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23466127 + ... + 23470673.

It is an arithmetic number, because the mean of its divisors is an integer number (826048692).

Almost surely, 2^106710814800 is an apocalyptic number.

106710814800 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 106710814800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198251686080).

106710814800 is an abundant number, since it is smaller than the sum of its proper divisors (289792557360).

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

106710814800 is a wasteful number, since it uses less digits than its factorization.

106710814800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 106710814800 in words is "one hundred six billion, seven hundred ten million, eight hundred fourteen thousand, eight hundred".