106470468720 has 960 divisors, whose sum is σ = 477236597760. Its totient is φ = 20603289600.

The previous prime is 106470468697. The next prime is 106470468721. The reversal of 106470468720 is 27864074601.

106470468720 is a `hidden beast` number, since 106 + 470 + 4 + 6 + 8 + 72 + 0 = 666.

It is a super-2 number, since 2×106470468720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106470468721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64254132 + ... + 64255788.

It is an arithmetic number, because the mean of its divisors is an integer number (497121456).

Almost surely, 2^106470468720 is an apocalyptic number.

106470468720 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 106470468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238618298880).

106470468720 is an abundant number, since it is smaller than the sum of its proper divisors (370766129040).

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

106470468720 is a wasteful number, since it uses less digits than its factorization.

106470468720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 106470468720 in words is "one hundred six billion, four hundred seventy million, four hundred sixty-eight thousand, seven hundred twenty".