106394072320 has 72 divisors (see below), whose sum is σ = 259025061960. Its totient is φ = 41859932160.

The previous prime is 106394072261. The next prime is 106394072333. The reversal of 106394072320 is 23270493601.

It can be written as a sum of positive squares in 4 ways, for example, as 618218496 + 105775853824 = 24864^2 + 325232^2 .

It is a super-2 number, since 2×106394072320² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106394072320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603235 + ... + 759394.

It is an arithmetic number, because the mean of its divisors is an integer number (3597570305).

Almost surely, 2^106394072320 is an apocalyptic number.

106394072320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106394072320 is an abundant number, since it is smaller than the sum of its proper divisors (152630989640).

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

106394072320 is an equidigital number, since it uses as much as digits as its factorization.

106394072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362711 (or 1362697 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 106394072320 in words is "one hundred six billion, three hundred ninety-four million, seventy-two thousand, three hundred twenty".