106670478672 has 120 divisors (see below), whose sum is σ = 316356080040. Its totient is φ = 33493340160.

The previous prime is 106670478659. The next prime is 106670478679. The reversal of 106670478672 is 276874076601.

106670478672 is a `hidden beast` number, since 106 + 6 + 7 + 0 + 478 + 67 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5187456576 + 101483022096 = 72024^2 + 318564^2 .

It is a super-2 number, since 2×106670478672² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106670478679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140293 + ... + 482724.

It is an arithmetic number, because the mean of its divisors is an integer number (2636300667).

Almost surely, 2^106670478672 is an apocalyptic number.

106670478672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106670478672 is an abundant number, since it is smaller than the sum of its proper divisors (209685601368).

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

106670478672 is a wasteful number, since it uses less digits than its factorization.

106670478672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623101 (or 623092 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 106670478672 in words is "one hundred six billion, six hundred seventy million, four hundred seventy-eight thousand, six hundred seventy-two".