106704072 has 48 divisors (see below), whose sum is σ = 289795740. Its totient is φ = 35468928.

The previous prime is 106704071. The next prime is 106704089. The reversal of 106704072 is 270407601.

It can be written as a sum of positive squares in 2 ways, for example, as 105390756 + 1313316 = 10266^2 + 1146^2 .

It is a super-2 number, since 2×106704072² = 22771517962762368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106704071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26718 + ... + 30450.

Almost surely, 2^106704072 is an apocalyptic number.

106704072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106704072 is an abundant number, since it is smaller than the sum of its proper divisors (183091668).

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

106704072 is a wasteful number, since it uses less digits than its factorization.

106704072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 106704072 is about 10329.7663090701. The cubic root of 106704072 is about 474.3078702781.

The spelling of 106704072 in words is "one hundred six million, seven hundred four thousand, seventy-two".