106470472320 has 384 divisors, whose sum is σ = 390241800000. Its totient is φ = 26656210944.

The previous prime is 106470472271. The next prime is 106470472327. The reversal of 106470472320 is 23274074601.

106470472320 is a `hidden beast` number, since 1 + 0 + 647 + 0 + 4 + 7 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106470472320² (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 not an unprimeable number, because it can be changed into a prime (106470472327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48860991 + ... + 48863169.

Almost surely, 2^106470472320 is an apocalyptic number.

106470472320 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 106470472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195120900000).

106470472320 is an abundant number, since it is smaller than the sum of its proper divisors (283771327680).

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

106470472320 is a wasteful number, since it uses less digits than its factorization.

106470472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 106470472320 in words is "one hundred six billion, four hundred seventy million, four hundred seventy-two thousand, three hundred twenty".